Least Common Multiple of 61/144, 704/290, 849/938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/144, 704/290, 849/938 quickly i.e. 18229728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/144, 704/290, 849/938 is 18229728.

LCM(61/144, 704/290, 849/938) = 18229728

LCM of 61/144, 704/290, 849/938

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 61/144,704/290,849/938

Given numbers are 61/144,704/290,849/938

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 61,704,849

Least Common Multiple of Numerators i.e. LCM of 61,704,849 is 36459456.

GCF of Denominators means GCF of 144,290,938 as per the given fractions.

GCF of 144,290,938 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,704,849

LCM of Fractions 61/144,704/290,849/938 is 18229728

Given numbers has no common factors except 1. So, there LCM is their product i.e 36459456

Least Common Multiple of 61,704,849 with GCF Formula

Least Common Multiple of 61,704,849 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 61,704,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,704,849) = 1

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

GCF(61,704,849) x common factors =1 x 1 = 1

LCM(61,704,849) = ( 61 × 704 × 849 ) / 1

LCM(61,704,849) = 36459456 / 1

LCM(61,704,849) = 36459456


Lets's calculate GCF of 144,290,938

2 144, 290, 938
72, 145, 469

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36459456/2

Therefore the LCM of Fractions 61/144,704/290,849/938 is 18229728

Greatest Common Factor of 144,290,938 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,290,938 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 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Greatest Common Factor

We found the factors 144,290,938 . The biggest common factor number is the GCF number.
So the greatest common factor 144,290,938 is 2.


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 61/144, 704/290, 849/938

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 61/144, 704/290, 849/938?

Answer: LCM of Numerators as per given numbers 61/144, 704/290, 849/938 is

LCM of Numerators i.e. for 61,704,849 is 36459456

GCF of denominators i.e. for 144,290,938 is 2.

Thus, LCM of Fractions is 18229728.Finally, LCM of Fractions for 61/144, 704/290, 849/938 is 18229728.