Least Common Multiple of 746/42, 212/7597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 746/42, 212/7597 quickly i.e. 79076 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 746/42, 212/7597 is 79076.

LCM(746/42, 212/7597) = 79076

LCM of 746/42, 212/7597

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 746/42,212/7597

Given numbers are 746/42,212/7597

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 746,212

Least Common Multiple of Numerators i.e. LCM of 746,212 is 79076.

GCF of Denominators means GCF of 42,7597 as per the given fractions.

GCF of 42,7597 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 746,212

LCM of Fractions 746/42,212/7597 is 79076

2 746, 212
373, 106

∴ So the LCM of the given numbers is 2 x 373 x 106 = 79076

Least Common Multiple of 746,212 with GCF Formula

Least Common Multiple of 746,212 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 746,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,212) = 2

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

GCF(746,212) x common factors =2 x 1 = 2

LCM(746,212) = ( 746 × 212 ) / 2

LCM(746,212) = 158152 / 2

LCM(746,212) = 79076


Lets's calculate GCF of 42,7597

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79076/1

Therefore the LCM of Fractions 746/42,212/7597 is 79076

Greatest Common Factor of 42,7597 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,7597 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 7597

List of positive integer factors of 7597 that divides 7597 without a remainder.

1,71,107,7597

Greatest Common Factor

We found the factors 42,7597 . The biggest common factor number is the GCF number.
So the greatest common factor 42,7597 is 1.


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 746/42, 212/7597

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 746/42, 212/7597?

Answer: LCM of Numerators as per given numbers 746/42, 212/7597 is

LCM of Numerators i.e. for 746,212 is 79076

GCF of denominators i.e. for 42,7597 is 1.

Thus, LCM of Fractions is 79076.Finally, LCM of Fractions for 746/42, 212/7597 is 79076.