Least Common Multiple of 972/129, 263/743, 700/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 972/129, 263/743, 700/862 quickly i.e. 44736300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 972/129, 263/743, 700/862 is 44736300.

LCM(972/129, 263/743, 700/862) = 44736300

LCM of 972/129, 263/743, 700/862

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 972/129,263/743,700/862

Given numbers are 972/129,263/743,700/862

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 972,263,700

Least Common Multiple of Numerators i.e. LCM of 972,263,700 is 44736300.

GCF of Denominators means GCF of 129,743,862 as per the given fractions.

GCF of 129,743,862 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 972,263,700

LCM of Fractions 972/129,263/743,700/862 is 44736300

2 972, 263, 700
2 486, 263, 350
243, 263, 175

∴ So the LCM of the given numbers is 2 x 2 x 243 x 263 x 175 = 44736300

Least Common Multiple of 972,263,700 with GCF Formula

Least Common Multiple of 972,263,700 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 972,263,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,263,700) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(972,263,700) x common factors =1 x 4 = 4

LCM(972,263,700) = ( 972 × 263 × 700 ) / 4

LCM(972,263,700) = 178945200 / 4

LCM(972,263,700) = 44736300


Lets's calculate GCF of 129,743,862

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44736300/1

Therefore the LCM of Fractions 972/129,263/743,700/862 is 44736300

Greatest Common Factor of 129,743,862 By Matching Biggest Common Factor Method

Greatest Common Factor of 129,743,862 By Matching Biggest Common Factor Method

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Greatest Common Factor

We found the factors 129,743,862 . The biggest common factor number is the GCF number.
So the greatest common factor 129,743,862 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 972/129, 263/743, 700/862

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 972/129, 263/743, 700/862?

Answer: LCM of Numerators as per given numbers 972/129, 263/743, 700/862 is

LCM of Numerators i.e. for 972,263,700 is 44736300

GCF of denominators i.e. for 129,743,862 is 1.

Thus, LCM of Fractions is 44736300.Finally, LCM of Fractions for 972/129, 263/743, 700/862 is 44736300.