Least Common Multiple of 29/144, 74/619, 940/124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/144, 74/619, 940/124 quickly i.e. 1008620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/144, 74/619, 940/124 is 1008620.

LCM(29/144, 74/619, 940/124) = 1008620

LCM of 29/144, 74/619, 940/124

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 29/144,74/619,940/124

Given numbers are 29/144,74/619,940/124

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 29,74,940

Least Common Multiple of Numerators i.e. LCM of 29,74,940 is 1008620.

GCF of Denominators means GCF of 144,619,124 as per the given fractions.

GCF of 144,619,124 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,74,940

LCM of Fractions 29/144,74/619,940/124 is 1008620

2 29, 74, 940
29, 37, 470

∴ So the LCM of the given numbers is 2 x 29 x 37 x 470 = 1008620

Least Common Multiple of 29,74,940 with GCF Formula

Least Common Multiple of 29,74,940 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 29,74,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,74,940) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(29,74,940) x common factors =1 x 2 = 2

LCM(29,74,940) = ( 29 × 74 × 940 ) / 2

LCM(29,74,940) = 2017240 / 2

LCM(29,74,940) = 1008620


Lets's calculate GCF of 144,619,124

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1008620/1

Therefore the LCM of Fractions 29/144,74/619,940/124 is 1008620

Greatest Common Factor of 144,619,124 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,619,124 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Greatest Common Factor

We found the factors 144,619,124 . The biggest common factor number is the GCF number.
So the greatest common factor 144,619,124 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 29/144, 74/619, 940/124

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 29/144, 74/619, 940/124?

Answer: LCM of Numerators as per given numbers 29/144, 74/619, 940/124 is

LCM of Numerators i.e. for 29,74,940 is 1008620

GCF of denominators i.e. for 144,619,124 is 1.

Thus, LCM of Fractions is 1008620.Finally, LCM of Fractions for 29/144, 74/619, 940/124 is 1008620.