Least Common Multiple of 88/642, 58/926, 975/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/642, 58/926, 975/414 quickly i.e. 1244100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/642, 58/926, 975/414 is 1244100.

LCM(88/642, 58/926, 975/414) = 1244100

LCM of 88/642, 58/926, 975/414

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 88/642,58/926,975/414

Given numbers are 88/642,58/926,975/414

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 88,58,975

Least Common Multiple of Numerators i.e. LCM of 88,58,975 is 2488200.

GCF of Denominators means GCF of 642,926,414 as per the given fractions.

GCF of 642,926,414 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,58,975

LCM of Fractions 88/642,58/926,975/414 is 1244100

2 88, 58, 975
44, 29, 975

∴ So the LCM of the given numbers is 2 x 44 x 29 x 975 = 2488200

Least Common Multiple of 88,58,975 with GCF Formula

Least Common Multiple of 88,58,975 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 88,58,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,58,975) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(88,58,975) x common factors =1 x 2 = 2

LCM(88,58,975) = ( 88 × 58 × 975 ) / 2

LCM(88,58,975) = 4976400 / 2

LCM(88,58,975) = 2488200


Lets's calculate GCF of 642,926,414

2 642, 926, 414
321, 463, 207

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2488200/2

Therefore the LCM of Fractions 88/642,58/926,975/414 is 1244100

Greatest Common Factor of 642,926,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 642,926,414 By Matching Biggest Common Factor Method

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 926

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

1,2,463,926

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 642,926,414 . The biggest common factor number is the GCF number.
So the greatest common factor 642,926,414 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 88/642, 58/926, 975/414

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 88/642, 58/926, 975/414?

Answer: LCM of Numerators as per given numbers 88/642, 58/926, 975/414 is

LCM of Numerators i.e. for 88,58,975 is 2488200

GCF of denominators i.e. for 642,926,414 is 2.

Thus, LCM of Fractions is 1244100.Finally, LCM of Fractions for 88/642, 58/926, 975/414 is 1244100.