Least Common Multiple of 42/71, 752/24, 492/739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 42/71, 752/24, 492/739 quickly i.e. 647472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/71, 752/24, 492/739 is 647472.

LCM(42/71, 752/24, 492/739) = 647472

LCM of 42/71, 752/24, 492/739

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 42/71,752/24,492/739

Given numbers are 42/71,752/24,492/739

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 42,752,492

Least Common Multiple of Numerators i.e. LCM of 42,752,492 is 647472.

GCF of Denominators means GCF of 71,24,739 as per the given fractions.

GCF of 71,24,739 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,752,492

LCM of Fractions 42/71,752/24,492/739 is 647472

2 42, 752, 492
2 21, 376, 246
3 21, 188, 123
7, 188, 41

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 188 x 41 = 647472

Least Common Multiple of 42,752,492 with GCF Formula

Least Common Multiple of 42,752,492 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 42,752,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,752,492) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(42,752,492) x common factors =2 x 12 = 24

LCM(42,752,492) = ( 42 × 752 × 492 ) / 24

LCM(42,752,492) = 15539328 / 24

LCM(42,752,492) = 647472


Lets's calculate GCF of 71,24,739

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 647472/1

Therefore the LCM of Fractions 42/71,752/24,492/739 is 647472

Greatest Common Factor of 71,24,739 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,24,739 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Greatest Common Factor

We found the factors 71,24,739 . The biggest common factor number is the GCF number.
So the greatest common factor 71,24,739 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 42/71, 752/24, 492/739

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 42/71, 752/24, 492/739?

Answer: LCM of Numerators as per given numbers 42/71, 752/24, 492/739 is

LCM of Numerators i.e. for 42,752,492 is 647472

GCF of denominators i.e. for 71,24,739 is 1.

Thus, LCM of Fractions is 647472.Finally, LCM of Fractions for 42/71, 752/24, 492/739 is 647472.