Least Common Multiple of 3742/462, 6539/595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3742/462, 6539/595 quickly i.e. 24468938/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3742/462, 6539/595 is 24468938/7.

LCM(3742/462, 6539/595) = 24468938/7

LCM of 3742/462, 6539/595

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 3742/462,6539/595

Given numbers are 3742/462,6539/595

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 3742,6539

Least Common Multiple of Numerators i.e. LCM of 3742,6539 is 24468938.

GCF of Denominators means GCF of 462,595 as per the given fractions.

GCF of 462,595 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3742,6539

LCM of Fractions 3742/462,6539/595 is 24468938/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 24468938

Least Common Multiple of 3742,6539 with GCF Formula

Least Common Multiple of 3742,6539 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 3742,6539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3742,6539) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(3742,6539) x common factors =1 x 1 = 1

LCM(3742,6539) = ( 3742 × 6539 ) / 1

LCM(3742,6539) = 24468938 / 1

LCM(3742,6539) = 24468938


Lets's calculate GCF of 462,595

7 462, 595
66, 85

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24468938/7

Therefore the LCM of Fractions 3742/462,6539/595 is 24468938/7

Greatest Common Factor of 462,595 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,595 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Greatest Common Factor

We found the factors 462,595 . The biggest common factor number is the GCF number.
So the greatest common factor 462,595 is 7.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 3742/462, 6539/595

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 3742/462, 6539/595?

Answer: LCM of Numerators as per given numbers 3742/462, 6539/595 is

LCM of Numerators i.e. for 3742,6539 is 24468938

GCF of denominators i.e. for 462,595 is 7.

Thus, LCM of Fractions is 24468938/7.Finally, LCM of Fractions for 3742/462, 6539/595 is 24468938/7.