Least Common Multiple of 62/78, 536/80, 138/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/78, 536/80, 138/312 quickly i.e. 573252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/78, 536/80, 138/312 is 573252.

LCM(62/78, 536/80, 138/312) = 573252

LCM of 62/78, 536/80, 138/312

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 62/78,536/80,138/312

Given numbers are 62/78,536/80,138/312

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 62,536,138

Least Common Multiple of Numerators i.e. LCM of 62,536,138 is 1146504.

GCF of Denominators means GCF of 78,80,312 as per the given fractions.

GCF of 78,80,312 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,536,138

LCM of Fractions 62/78,536/80,138/312 is 573252

2 62, 536, 138
31, 268, 69

∴ So the LCM of the given numbers is 2 x 31 x 268 x 69 = 1146504

Least Common Multiple of 62,536,138 with GCF Formula

Least Common Multiple of 62,536,138 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 62,536,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,536,138) = 2

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

GCF(62,536,138) x common factors =2 x 2 = 4

LCM(62,536,138) = ( 62 × 536 × 138 ) / 4

LCM(62,536,138) = 4586016 / 4

LCM(62,536,138) = 1146504


Lets's calculate GCF of 78,80,312

2 78, 80, 312
39, 40, 156

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1146504/2

Therefore the LCM of Fractions 62/78,536/80,138/312 is 573252

Greatest Common Factor of 78,80,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,80,312 By Matching Biggest Common Factor Method

Factors of 78

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

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

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 78,80,312 . The biggest common factor number is the GCF number.
So the greatest common factor 78,80,312 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 62/78, 536/80, 138/312

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 62/78, 536/80, 138/312?

Answer: LCM of Numerators as per given numbers 62/78, 536/80, 138/312 is

LCM of Numerators i.e. for 62,536,138 is 1146504

GCF of denominators i.e. for 78,80,312 is 2.

Thus, LCM of Fractions is 573252.Finally, LCM of Fractions for 62/78, 536/80, 138/312 is 573252.