Least Common Multiple of 29/972, 735/121, 767/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/972, 735/121, 767/870 quickly i.e. 16348605 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/972, 735/121, 767/870 is 16348605.

LCM(29/972, 735/121, 767/870) = 16348605

LCM of 29/972, 735/121, 767/870

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 29/972,735/121,767/870

Given numbers are 29/972,735/121,767/870

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 29,735,767

Least Common Multiple of Numerators i.e. LCM of 29,735,767 is 16348605.

GCF of Denominators means GCF of 972,121,870 as per the given fractions.

GCF of 972,121,870 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,735,767

LCM of Fractions 29/972,735/121,767/870 is 16348605

Given numbers has no common factors except 1. So, there LCM is their product i.e 16348605

Least Common Multiple of 29,735,767 with GCF Formula

Least Common Multiple of 29,735,767 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 29,735,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,735,767) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(29,735,767) x common factors =1 x 1 = 1

LCM(29,735,767) = ( 29 × 735 × 767 ) / 1

LCM(29,735,767) = 16348605 / 1

LCM(29,735,767) = 16348605


Lets's calculate GCF of 972,121,870

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16348605/1

Therefore the LCM of Fractions 29/972,735/121,767/870 is 16348605

Greatest Common Factor of 972,121,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,121,870 By Matching Biggest Common Factor Method

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 972,121,870 . The biggest common factor number is the GCF number.
So the greatest common factor 972,121,870 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 29/972, 735/121, 767/870

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 29/972, 735/121, 767/870?

Answer: LCM of Numerators as per given numbers 29/972, 735/121, 767/870 is

LCM of Numerators i.e. for 29,735,767 is 16348605

GCF of denominators i.e. for 972,121,870 is 1.

Thus, LCM of Fractions is 16348605.Finally, LCM of Fractions for 29/972, 735/121, 767/870 is 16348605.