Least Common Multiple of 123/152, 746/922, 870/539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 123/152, 746/922, 870/539 quickly i.e. 13304910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 123/152, 746/922, 870/539 is 13304910.

LCM(123/152, 746/922, 870/539) = 13304910

LCM of 123/152, 746/922, 870/539

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 123/152,746/922,870/539

Given numbers are 123/152,746/922,870/539

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 123,746,870

Least Common Multiple of Numerators i.e. LCM of 123,746,870 is 13304910.

GCF of Denominators means GCF of 152,922,539 as per the given fractions.

GCF of 152,922,539 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 123,746,870

LCM of Fractions 123/152,746/922,870/539 is 13304910

2 123, 746, 870
3 123, 373, 435
41, 373, 145

∴ So the LCM of the given numbers is 2 x 3 x 41 x 373 x 145 = 13304910

Least Common Multiple of 123,746,870 with GCF Formula

Least Common Multiple of 123,746,870 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 123,746,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,746,870) = 1

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

GCF(123,746,870) x common factors =1 x 6 = 6

LCM(123,746,870) = ( 123 × 746 × 870 ) / 6

LCM(123,746,870) = 79829460 / 6

LCM(123,746,870) = 13304910


Lets's calculate GCF of 152,922,539

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13304910/1

Therefore the LCM of Fractions 123/152,746/922,870/539 is 13304910

Greatest Common Factor of 152,922,539 By Matching Biggest Common Factor Method

Greatest Common Factor of 152,922,539 By Matching Biggest Common Factor Method

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Greatest Common Factor

We found the factors 152,922,539 . The biggest common factor number is the GCF number.
So the greatest common factor 152,922,539 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 123/152, 746/922, 870/539

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 123/152, 746/922, 870/539?

Answer: LCM of Numerators as per given numbers 123/152, 746/922, 870/539 is

LCM of Numerators i.e. for 123,746,870 is 13304910

GCF of denominators i.e. for 152,922,539 is 1.

Thus, LCM of Fractions is 13304910.Finally, LCM of Fractions for 123/152, 746/922, 870/539 is 13304910.