Least Common Multiple of 88/69, 87/79, 906/459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 88/69, 87/79, 906/459 quickly i.e. 1156056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/69, 87/79, 906/459 is 1156056.

LCM(88/69, 87/79, 906/459) = 1156056

LCM of 88/69, 87/79, 906/459

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 88/69,87/79,906/459

Given numbers are 88/69,87/79,906/459

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 88,87,906

Least Common Multiple of Numerators i.e. LCM of 88,87,906 is 1156056.

GCF of Denominators means GCF of 69,79,459 as per the given fractions.

GCF of 69,79,459 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,87,906

LCM of Fractions 88/69,87/79,906/459 is 1156056

2 88, 87, 906
3 44, 87, 453
44, 29, 151

∴ So the LCM of the given numbers is 2 x 3 x 44 x 29 x 151 = 1156056

Least Common Multiple of 88,87,906 with GCF Formula

Least Common Multiple of 88,87,906 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 88,87,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,87,906) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(88,87,906) x common factors =1 x 6 = 6

LCM(88,87,906) = ( 88 × 87 × 906 ) / 6

LCM(88,87,906) = 6936336 / 6

LCM(88,87,906) = 1156056


Lets's calculate GCF of 69,79,459

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1156056/1

Therefore the LCM of Fractions 88/69,87/79,906/459 is 1156056

Greatest Common Factor of 69,79,459 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,79,459 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Greatest Common Factor

We found the factors 69,79,459 . The biggest common factor number is the GCF number.
So the greatest common factor 69,79,459 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 88/69, 87/79, 906/459

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 88/69, 87/79, 906/459?

Answer: LCM of Numerators as per given numbers 88/69, 87/79, 906/459 is

LCM of Numerators i.e. for 88,87,906 is 1156056

GCF of denominators i.e. for 69,79,459 is 1.

Thus, LCM of Fractions is 1156056.Finally, LCM of Fractions for 88/69, 87/79, 906/459 is 1156056.