Find the LCM and HCF of the following pairs o | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) First,find the prime factorization of the given numbers:$510 = 2 	imes 3 	imes 5 	imes 17$$92 = 2^2 	imes 23 = 2 	imes 2 	imes 23$To find th

Vedclass · Accepted Answer

$46920$

Vedclass · Answer

(B) First,find the prime factorization of the given numbers:$510 = 2 	imes 3 	imes 5 	imes 17$$92 = 2^2 	imes 23 = 2 	imes 2 	imes 23$To find the $HCF$,take the product of the smallest power of each common prime factor:$HCF = 2^1 = 2$To find the $LCM$,take the product of the highest power of each prime factor involved:$LCM = 2^2 	imes 3 	imes 5 	imes 17 	imes 23 = 4 	imes 3 	imes 5 	imes 17 	imes 23 = 23460$Now,verify the relationship:Product of the two numbers $= 510 	imes 92 = 46920$$HCF 	imes LCM = 2 	imes 23460 = 46920$Since $46920 = 46920$,the relationship $LCM 	imes HCF =$ product of the two numbers is verified.

Find the $LCM$ and $HCF$ of the following pairs of integers and verify that $LCM \times HCF =$ product of the two numbers $510$ and $92$.

Similar Questions

Find the $LCM$ and $HCF$ of $6$ and $20$ by the prime factorisation method.

Prove that $\frac{1}{\sqrt{2}}$ is an irrational number.

Find the $LCM$ and $HCF$ of the following pairs of integers and verify that $LCM \times HCF =$ product of the two numbers $26$ and $91$.

Explain why $7 \times 11 \times 13+13$ and $7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1+5$ are composite numbers.

Write down the decimal expansion of the rational number $\frac{23}{2^{3} 5^{2}}$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module