Least Common Multiple of 126/32, 353/72, 520/78

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 126/32, 353/72, 520/78 quickly i.e. 5782140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 126/32, 353/72, 520/78 is 5782140.

LCM(126/32, 353/72, 520/78) = 5782140

LCM of 126/32, 353/72, 520/78

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 126/32,353/72,520/78

Given numbers are 126/32,353/72,520/78

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 126,353,520

Least Common Multiple of Numerators i.e. LCM of 126,353,520 is 11564280.

GCF of Denominators means GCF of 32,72,78 as per the given fractions.

GCF of 32,72,78 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 126,353,520

LCM of Fractions 126/32,353/72,520/78 is 5782140

2 126, 353, 520
63, 353, 260

∴ So the LCM of the given numbers is 2 x 63 x 353 x 260 = 11564280

Least Common Multiple of 126,353,520 with GCF Formula

Least Common Multiple of 126,353,520 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 126,353,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(126,353,520) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(126,353,520) x common factors =1 x 2 = 2

LCM(126,353,520) = ( 126 × 353 × 520 ) / 2

LCM(126,353,520) = 23128560 / 2

LCM(126,353,520) = 11564280


Lets's calculate GCF of 32,72,78

2 32, 72, 78
16, 36, 39

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11564280/2

Therefore the LCM of Fractions 126/32,353/72,520/78 is 5782140

Greatest Common Factor of 32,72,78 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,72,78 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Greatest Common Factor

We found the factors 32,72,78 . The biggest common factor number is the GCF number.
So the greatest common factor 32,72,78 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 126/32, 353/72, 520/78

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 126/32, 353/72, 520/78?

Answer: LCM of Numerators as per given numbers 126/32, 353/72, 520/78 is

LCM of Numerators i.e. for 126,353,520 is 11564280

GCF of denominators i.e. for 32,72,78 is 2.

Thus, LCM of Fractions is 5782140.Finally, LCM of Fractions for 126/32, 353/72, 520/78 is 5782140.