Least Common Multiple of 871/54, 549/38, 240/926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 871/54, 549/38, 240/926 quickly i.e. 19127160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 871/54, 549/38, 240/926 is 19127160.

LCM(871/54, 549/38, 240/926) = 19127160

LCM of 871/54, 549/38, 240/926

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 871/54,549/38,240/926

Given numbers are 871/54,549/38,240/926

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 871,549,240

Least Common Multiple of Numerators i.e. LCM of 871,549,240 is 38254320.

GCF of Denominators means GCF of 54,38,926 as per the given fractions.

GCF of 54,38,926 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 871,549,240

LCM of Fractions 871/54,549/38,240/926 is 19127160

3 871, 549, 240
871, 183, 80

∴ So the LCM of the given numbers is 3 x 871 x 183 x 80 = 38254320

Least Common Multiple of 871,549,240 with GCF Formula

Least Common Multiple of 871,549,240 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 871,549,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(871,549,240) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(871,549,240) x common factors =1 x 3 = 3

LCM(871,549,240) = ( 871 × 549 × 240 ) / 3

LCM(871,549,240) = 114762960 / 3

LCM(871,549,240) = 38254320


Lets's calculate GCF of 54,38,926

2 54, 38, 926
27, 19, 463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38254320/2

Therefore the LCM of Fractions 871/54,549/38,240/926 is 19127160

Greatest Common Factor of 54,38,926 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,38,926 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Greatest Common Factor

We found the factors 54,38,926 . The biggest common factor number is the GCF number.
So the greatest common factor 54,38,926 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 871/54, 549/38, 240/926

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 871/54, 549/38, 240/926?

Answer: LCM of Numerators as per given numbers 871/54, 549/38, 240/926 is

LCM of Numerators i.e. for 871,549,240 is 38254320

GCF of denominators i.e. for 54,38,926 is 2.

Thus, LCM of Fractions is 19127160.Finally, LCM of Fractions for 871/54, 549/38, 240/926 is 19127160.