Least Common Multiple of 7/546, 72/508, 44/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/546, 72/508, 44/748 quickly i.e. 2772 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/546, 72/508, 44/748 is 2772.

LCM(7/546, 72/508, 44/748) = 2772

LCM of 7/546, 72/508, 44/748

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 7/546,72/508,44/748

Given numbers are 7/546,72/508,44/748

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 7,72,44

Least Common Multiple of Numerators i.e. LCM of 7,72,44 is 5544.

GCF of Denominators means GCF of 546,508,748 as per the given fractions.

GCF of 546,508,748 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,72,44

LCM of Fractions 7/546,72/508,44/748 is 2772

2 7, 72, 44
2 7, 36, 22
7, 18, 11

∴ So the LCM of the given numbers is 2 x 2 x 7 x 18 x 11 = 5544

Least Common Multiple of 7,72,44 with GCF Formula

Least Common Multiple of 7,72,44 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 7,72,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,72,44) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(7,72,44) x common factors =1 x 4 = 4

LCM(7,72,44) = ( 7 × 72 × 44 ) / 4

LCM(7,72,44) = 22176 / 4

LCM(7,72,44) = 5544


Lets's calculate GCF of 546,508,748

2 546, 508, 748
273, 254, 374

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5544/2

Therefore the LCM of Fractions 7/546,72/508,44/748 is 2772

Greatest Common Factor of 546,508,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,508,748 By Matching Biggest Common Factor Method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 546,508,748 . The biggest common factor number is the GCF number.
So the greatest common factor 546,508,748 is 2.


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 7/546, 72/508, 44/748

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 7/546, 72/508, 44/748?

Answer: LCM of Numerators as per given numbers 7/546, 72/508, 44/748 is

LCM of Numerators i.e. for 7,72,44 is 5544

GCF of denominators i.e. for 546,508,748 is 2.

Thus, LCM of Fractions is 2772.Finally, LCM of Fractions for 7/546, 72/508, 44/748 is 2772.