Least Common Multiple of 36/840, 29/910, 152/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/840, 29/910, 152/742 quickly i.e. 39672/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/840, 29/910, 152/742 is 39672/14.

LCM(36/840, 29/910, 152/742) = 39672/14

LCM of 36/840, 29/910, 152/742

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 36/840,29/910,152/742

Given numbers are 36/840,29/910,152/742

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 36,29,152

Least Common Multiple of Numerators i.e. LCM of 36,29,152 is 39672.

GCF of Denominators means GCF of 840,910,742 as per the given fractions.

GCF of 840,910,742 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,29,152

LCM of Fractions 36/840,29/910,152/742 is 39672/14

2 36, 29, 152
2 18, 29, 76
9, 29, 38

∴ So the LCM of the given numbers is 2 x 2 x 9 x 29 x 38 = 39672

Least Common Multiple of 36,29,152 with GCF Formula

Least Common Multiple of 36,29,152 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 36,29,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,29,152) = 1

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

GCF(36,29,152) x common factors =1 x 4 = 4

LCM(36,29,152) = ( 36 × 29 × 152 ) / 4

LCM(36,29,152) = 158688 / 4

LCM(36,29,152) = 39672


Lets's calculate GCF of 840,910,742

2 840, 910, 742
7 420, 455, 371
60, 65, 53

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39672/14

Therefore the LCM of Fractions 36/840,29/910,152/742 is 39672/14

Greatest Common Factor of 840,910,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 840,910,742 By Matching Biggest Common Factor Method

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 840,910,742 . The biggest common factor number is the GCF number.
So the greatest common factor 840,910,742 is 14.


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 36/840, 29/910, 152/742

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 36/840, 29/910, 152/742?

Answer: LCM of Numerators as per given numbers 36/840, 29/910, 152/742 is

LCM of Numerators i.e. for 36,29,152 is 39672

GCF of denominators i.e. for 840,910,742 is 14.

Thus, LCM of Fractions is 39672/14.Finally, LCM of Fractions for 36/840, 29/910, 152/742 is 39672/14.