Least Common Multiple of 88/231, 508/632, 415/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/231, 508/632, 415/351 quickly i.e. 4638040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/231, 508/632, 415/351 is 4638040.

LCM(88/231, 508/632, 415/351) = 4638040

LCM of 88/231, 508/632, 415/351

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 88/231,508/632,415/351

Given numbers are 88/231,508/632,415/351

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 88,508,415

Least Common Multiple of Numerators i.e. LCM of 88,508,415 is 4638040.

GCF of Denominators means GCF of 231,632,351 as per the given fractions.

GCF of 231,632,351 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,508,415

LCM of Fractions 88/231,508/632,415/351 is 4638040

2 88, 508, 415
2 44, 254, 415
22, 127, 415

∴ So the LCM of the given numbers is 2 x 2 x 22 x 127 x 415 = 4638040

Least Common Multiple of 88,508,415 with GCF Formula

Least Common Multiple of 88,508,415 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 88,508,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,508,415) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(88,508,415) x common factors =1 x 4 = 4

LCM(88,508,415) = ( 88 × 508 × 415 ) / 4

LCM(88,508,415) = 18552160 / 4

LCM(88,508,415) = 4638040


Lets's calculate GCF of 231,632,351

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4638040/1

Therefore the LCM of Fractions 88/231,508/632,415/351 is 4638040

Greatest Common Factor of 231,632,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 231,632,351 By Matching Biggest Common Factor Method

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 231,632,351 . The biggest common factor number is the GCF number.
So the greatest common factor 231,632,351 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 88/231, 508/632, 415/351

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 88/231, 508/632, 415/351?

Answer: LCM of Numerators as per given numbers 88/231, 508/632, 415/351 is

LCM of Numerators i.e. for 88,508,415 is 4638040

GCF of denominators i.e. for 231,632,351 is 1.

Thus, LCM of Fractions is 4638040.Finally, LCM of Fractions for 88/231, 508/632, 415/351 is 4638040.