Least Common Multiple of 70/427, 912/508, 120/903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/427, 912/508, 120/903 quickly i.e. 31920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/427, 912/508, 120/903 is 31920.

LCM(70/427, 912/508, 120/903) = 31920

LCM of 70/427, 912/508, 120/903

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 70/427,912/508,120/903

Given numbers are 70/427,912/508,120/903

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 70,912,120

Least Common Multiple of Numerators i.e. LCM of 70,912,120 is 31920.

GCF of Denominators means GCF of 427,508,903 as per the given fractions.

GCF of 427,508,903 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,912,120

LCM of Fractions 70/427,912/508,120/903 is 31920

2 70, 912, 120
2 35, 456, 60
2 35, 228, 30
3 35, 114, 15
5 35, 38, 5
7, 38, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 7 x 38 x 1 = 31920

Least Common Multiple of 70,912,120 with GCF Formula

Least Common Multiple of 70,912,120 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 70,912,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,912,120) = 2

common factors(in case of two or more numbers have common factors) = 120

GCF(70,912,120) x common factors =2 x 120 = 240

LCM(70,912,120) = ( 70 × 912 × 120 ) / 240

LCM(70,912,120) = 7660800 / 240

LCM(70,912,120) = 31920


Lets's calculate GCF of 427,508,903

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31920/1

Therefore the LCM of Fractions 70/427,912/508,120/903 is 31920

Greatest Common Factor of 427,508,903 By Matching Biggest Common Factor Method

Greatest Common Factor of 427,508,903 By Matching Biggest Common Factor Method

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 508

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

1,2,4,127,254,508

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Greatest Common Factor

We found the factors 427,508,903 . The biggest common factor number is the GCF number.
So the greatest common factor 427,508,903 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 70/427, 912/508, 120/903

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 70/427, 912/508, 120/903?

Answer: LCM of Numerators as per given numbers 70/427, 912/508, 120/903 is

LCM of Numerators i.e. for 70,912,120 is 31920

GCF of denominators i.e. for 427,508,903 is 1.

Thus, LCM of Fractions is 31920.Finally, LCM of Fractions for 70/427, 912/508, 120/903 is 31920.