Least Common Multiple of 10/63, 12/56, 138/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/63, 12/56, 138/688 quickly i.e. 1380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/63, 12/56, 138/688 is 1380.

LCM(10/63, 12/56, 138/688) = 1380

LCM of 10/63, 12/56, 138/688

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 10/63,12/56,138/688

Given numbers are 10/63,12/56,138/688

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 10,12,138

Least Common Multiple of Numerators i.e. LCM of 10,12,138 is 1380.

GCF of Denominators means GCF of 63,56,688 as per the given fractions.

GCF of 63,56,688 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,12,138

LCM of Fractions 10/63,12/56,138/688 is 1380

2 10, 12, 138
3 5, 6, 69
5, 2, 23

∴ So the LCM of the given numbers is 2 x 3 x 5 x 2 x 23 = 1380

Least Common Multiple of 10,12,138 with GCF Formula

Least Common Multiple of 10,12,138 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 10,12,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,12,138) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(10,12,138) x common factors =2 x 6 = 12

LCM(10,12,138) = ( 10 × 12 × 138 ) / 12

LCM(10,12,138) = 16560 / 12

LCM(10,12,138) = 1380


Lets's calculate GCF of 63,56,688

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1380/1

Therefore the LCM of Fractions 10/63,12/56,138/688 is 1380

Greatest Common Factor of 63,56,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,56,688 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 63,56,688 . The biggest common factor number is the GCF number.
So the greatest common factor 63,56,688 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 10/63, 12/56, 138/688

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 10/63, 12/56, 138/688?

Answer: LCM of Numerators as per given numbers 10/63, 12/56, 138/688 is

LCM of Numerators i.e. for 10,12,138 is 1380

GCF of denominators i.e. for 63,56,688 is 1.

Thus, LCM of Fractions is 1380.Finally, LCM of Fractions for 10/63, 12/56, 138/688 is 1380.