Least Common Multiple of 95/91, 950/88, 864/75

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 95/91, 950/88, 864/75 quickly i.e. 410400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/91, 950/88, 864/75 is 410400.

LCM(95/91, 950/88, 864/75) = 410400

LCM of 95/91, 950/88, 864/75

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 95/91,950/88,864/75

Given numbers are 95/91,950/88,864/75

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 95,950,864

Least Common Multiple of Numerators i.e. LCM of 95,950,864 is 410400.

GCF of Denominators means GCF of 91,88,75 as per the given fractions.

GCF of 91,88,75 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,950,864

LCM of Fractions 95/91,950/88,864/75 is 410400

2 95, 950, 864
5 95, 475, 432
19 19, 95, 432
1, 5, 432

∴ So the LCM of the given numbers is 2 x 5 x 19 x 1 x 5 x 432 = 410400

Least Common Multiple of 95,950,864 with GCF Formula

Least Common Multiple of 95,950,864 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 95,950,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,950,864) = 1

common factors(in case of two or more numbers have common factors) = 190

GCF(95,950,864) x common factors =1 x 190 = 190

LCM(95,950,864) = ( 95 × 950 × 864 ) / 190

LCM(95,950,864) = 77976000 / 190

LCM(95,950,864) = 410400


Lets's calculate GCF of 91,88,75

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 410400/1

Therefore the LCM of Fractions 95/91,950/88,864/75 is 410400

Greatest Common Factor of 91,88,75 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,88,75 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Greatest Common Factor

We found the factors 91,88,75 . The biggest common factor number is the GCF number.
So the greatest common factor 91,88,75 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 95/91, 950/88, 864/75

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 95/91, 950/88, 864/75?

Answer: LCM of Numerators as per given numbers 95/91, 950/88, 864/75 is

LCM of Numerators i.e. for 95,950,864 is 410400

GCF of denominators i.e. for 91,88,75 is 1.

Thus, LCM of Fractions is 410400.Finally, LCM of Fractions for 95/91, 950/88, 864/75 is 410400.