Find the Least Common Multiple (LCM) of 6, 72 | vedclass

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

Question

(B) To find the $LCM$ of $6, 72,$ and $120$,we first find the prime factorization of each number:$6 = 2^1 	imes 3^1$$72 = 8 	imes 9 = 2^3 	imes 3^2

Vedclass · Accepted Answer

$360$

Vedclass · Answer

(B) To find the $LCM$ of $6, 72,$ and $120$,we first find the prime factorization of each number:$6 = 2^1 	imes 3^1$$72 = 8 	imes 9 = 2^3 	imes 3^2$$120 = 8 	imes 15 = 2^3 	imes 3^1 	imes 5^1$The $LCM$ is the product of the highest power of each prime factor present in the numbers:$LCM$ $= 2^3 	imes 3^2 	imes 5^1$$LCM$ $= 8 	imes 9 	imes 5$$LCM$ $= 72 	imes 5 = 360$Therefore,the $LCM$ of $6, 72,$ and $120$ is $360$.

Find the Least Common Multiple $(LCM)$ of $6, 72,$ and $120$.

Similar Questions

The $\text{l.c.m.}$ of two numbers is $14$ times their $\text{g.c.d.}$ and the sum of $\text{l.c.m.}$ and $\text{g.c.d.}$ is $600$. If one of the numbers is $280$,then find the other number.

Four bells toll at intervals of $8$,$12$,$15$,and $18$ seconds respectively. All four begin to toll together. How many times will they toll together in one hour,excluding the one at the start?

By using the fact $g.c.d.(a, b) \times l.c.m.(a, b) = a \times b$,find $l.c.m.(96, 404)$.

Write the denominator of the rational number $\frac{257}{5000}$ in the form $2^{m} \times 5^{n},$ where $m, n$ are non-negative integers. Hence,write its decimal expansion,without actual division.

What is the $HCF$ of $65$ and $117$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module