Least Common Multiple of 88/878, 34/433, 408/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 88/878, 34/433, 408/232 quickly i.e. 4488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/878, 34/433, 408/232 is 4488.

LCM(88/878, 34/433, 408/232) = 4488

LCM of 88/878, 34/433, 408/232

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 88/878,34/433,408/232

Given numbers are 88/878,34/433,408/232

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 88,34,408

Least Common Multiple of Numerators i.e. LCM of 88,34,408 is 4488.

GCF of Denominators means GCF of 878,433,232 as per the given fractions.

GCF of 878,433,232 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,34,408

LCM of Fractions 88/878,34/433,408/232 is 4488

2 88, 34, 408
2 44, 17, 204
2 22, 17, 102
17 11, 17, 51
11, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 11 x 1 x 3 = 4488

Least Common Multiple of 88,34,408 with GCF Formula

Least Common Multiple of 88,34,408 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 88,34,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,34,408) = 2

common factors(in case of two or more numbers have common factors) = 136

GCF(88,34,408) x common factors =2 x 136 = 272

LCM(88,34,408) = ( 88 × 34 × 408 ) / 272

LCM(88,34,408) = 1220736 / 272

LCM(88,34,408) = 4488


Lets's calculate GCF of 878,433,232

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4488/1

Therefore the LCM of Fractions 88/878,34/433,408/232 is 4488

Greatest Common Factor of 878,433,232 By Matching Biggest Common Factor Method

Greatest Common Factor of 878,433,232 By Matching Biggest Common Factor Method

Factors of 878

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

1,2,439,878

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 878,433,232 . The biggest common factor number is the GCF number.
So the greatest common factor 878,433,232 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 88/878, 34/433, 408/232

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 88/878, 34/433, 408/232?

Answer: LCM of Numerators as per given numbers 88/878, 34/433, 408/232 is

LCM of Numerators i.e. for 88,34,408 is 4488

GCF of denominators i.e. for 878,433,232 is 1.

Thus, LCM of Fractions is 4488.Finally, LCM of Fractions for 88/878, 34/433, 408/232 is 4488.