Least Common Multiple of 88/361, 70/544, 231/878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/361, 70/544, 231/878 quickly i.e. 9240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/361, 70/544, 231/878 is 9240.

LCM(88/361, 70/544, 231/878) = 9240

LCM of 88/361, 70/544, 231/878

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 88/361,70/544,231/878

Given numbers are 88/361,70/544,231/878

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 88,70,231

Least Common Multiple of Numerators i.e. LCM of 88,70,231 is 9240.

GCF of Denominators means GCF of 361,544,878 as per the given fractions.

GCF of 361,544,878 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,70,231

LCM of Fractions 88/361,70/544,231/878 is 9240

2 88, 70, 231
7 44, 35, 231
11 44, 5, 33
4, 5, 3

∴ So the LCM of the given numbers is 2 x 7 x 11 x 4 x 5 x 3 = 9240

Least Common Multiple of 88,70,231 with GCF Formula

Least Common Multiple of 88,70,231 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 88,70,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,70,231) = 1

common factors(in case of two or more numbers have common factors) = 154

GCF(88,70,231) x common factors =1 x 154 = 154

LCM(88,70,231) = ( 88 × 70 × 231 ) / 154

LCM(88,70,231) = 1422960 / 154

LCM(88,70,231) = 9240


Lets's calculate GCF of 361,544,878

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9240/1

Therefore the LCM of Fractions 88/361,70/544,231/878 is 9240

Greatest Common Factor of 361,544,878 By Matching Biggest Common Factor Method

Greatest Common Factor of 361,544,878 By Matching Biggest Common Factor Method

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Greatest Common Factor

We found the factors 361,544,878 . The biggest common factor number is the GCF number.
So the greatest common factor 361,544,878 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 88/361, 70/544, 231/878

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 88/361, 70/544, 231/878?

Answer: LCM of Numerators as per given numbers 88/361, 70/544, 231/878 is

LCM of Numerators i.e. for 88,70,231 is 9240

GCF of denominators i.e. for 361,544,878 is 1.

Thus, LCM of Fractions is 9240.Finally, LCM of Fractions for 88/361, 70/544, 231/878 is 9240.