Sage-Tips

Can two numbers having its HCF 15 and LCM 225?

The HCF of two numbers is 15 and their LCM is 225. If one of the number is 75, then the other number is : – GKToday. Hence option [A] is correct answer.

Can two numbers have 15 as HCF and 220 as LCM Why?

The LCM of two numbers is perfectly divisible by their HCF. 220 ÷ 15 = 14.666667, and hence, the LCM is not perfectly divisible by the HCF. Thus, the LCM and HCF of two numbers cannot be 220 and 15 respectively.

Can two numbers have 15 as HCF and 350 as LCM Why?

Step-by-step explanation: No ,2 numbers cannot have HCF as 15 and LCM as 350 . Because LCM>HCF and HCF of 2 numbers should divide the LCM completely.

Can two numbers have LCM as 4 HCF as 15 and their product is 60 *?

Prime factorization of 4 and 15 is (2 × 2) = 22 and (3 × 5) = 31 × 51 respectively. LCM of 4 and 15 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 22 × 31 × 51 = 60. Hence, the LCM of 4 and 15 by prime factorization is 60.

What is the LCM of 225 and 15?

Answer: The lcm of 15 and 225 is 225.

What is the HCF of 15 and 25?

5
There are 2 common factors of 15 and 25, that are 1 and 5. Therefore, the greatest common factor of 15 and 25 is 5.

Can two numbers have 15 as their HCF and 325 as their LCM explain?

NO, Because HCF is a common factor of given numbers.

Can two numbers have 15 as their HCF and 110 as their LCM justify your answer?

The HCF of two numbers is a factor of its LCM. Therefore, the LCM must be exactly divisible by the HCF of given numbers. Here, 110 (LCM) and 15 (HCF) are not exactly divisible by each other. No numbers can have 15 as their HCF and 110 as their LCM.

Can two numbers have 15 as their HCF and 320 as their LCM?

No. If you think about it, the GCF/HCF must be a factor of the LCM, since they would both have the number in their prime factorization. 320/15 = 21 1/3. So the LCM is not divisible by the HCF, therefore it is not possible for two numbers to have 15 as their HCF and 320 as their LCM.

Can two numbers have 15 as their HCF and 340 as their LCM give?

HCF stands for Highest Common Factor while, LCM stands for Least Common Multiple. HCF of two numbers must be a factor of LCM of those numbers . So, two numbers cannot have 12 and 340 as their HCF and LCM. Thanks!

Can two numbers have 15 as HCF?

In other words No, two numbers can’t have 15 as their HCF and 175 as LCM because HCF of the numbers must be a factor of the LCM. Since 15 is not a factor of 175, it is not possible. Note: Always remember that LCM is the highest number compared to HCF for two given numbers.

What is the HCF of 15 and lcm of 225?

Maths keeps one mentally active. The product of the two numbers = HCF*LCM = 15*225 = 3375. The two pairs of numbers are 15 and 225; 45 and 75 whose HCF = 15 and LCM = 225. Two natural numbers have HCF of 5 and LCM of 100.

What two numbers have HCF is 6 and LCM is 15?

It’s not possible to find out 2 numbers whose HCF is 6 and LCM is 15, because HCF must be a factor of LCM. And 6 is not a factor of 15. Thanks for contributing an answer to Mathematics Stack Exchange!

What is the smallest possible pair of numbers between HCF and Union?

Intersection = HCF and Union = LCM $$6 = 2 imes 3$$ $$15 = 3 imes 5$$ Intersection $= 2,3$ Union $= 2,3,5$ Therefore a possible pair when separated out correctly could be: $$a = 2 imes 3$$ $$b = 2 imes 3 imes 5$$ This is probably the smallest possible pair of such numbers.

How do you find the product of HCF and LCM?

The formula which involves both HCF and LCM is: Product of Two numbers = (HCF of the two numbers) x (LCM of the two numbers) Say, A and B are the two numbers, then as per the formula; A x B = H.C.F.