Least Common Multiple of 89/95, 16/887, 584/188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 89/95, 16/887, 584/188 quickly i.e. 103952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/95, 16/887, 584/188 is 103952.

LCM(89/95, 16/887, 584/188) = 103952

LCM of 89/95, 16/887, 584/188

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 89/95,16/887,584/188

Given numbers are 89/95,16/887,584/188

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 89,16,584

Least Common Multiple of Numerators i.e. LCM of 89,16,584 is 103952.

GCF of Denominators means GCF of 95,887,188 as per the given fractions.

GCF of 95,887,188 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,16,584

LCM of Fractions 89/95,16/887,584/188 is 103952

2 89, 16, 584
2 89, 8, 292
2 89, 4, 146
89, 2, 73

∴ So the LCM of the given numbers is 2 x 2 x 2 x 89 x 2 x 73 = 103952

Least Common Multiple of 89,16,584 with GCF Formula

Least Common Multiple of 89,16,584 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 89,16,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,16,584) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(89,16,584) x common factors =1 x 8 = 8

LCM(89,16,584) = ( 89 × 16 × 584 ) / 8

LCM(89,16,584) = 831616 / 8

LCM(89,16,584) = 103952


Lets's calculate GCF of 95,887,188

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103952/1

Therefore the LCM of Fractions 89/95,16/887,584/188 is 103952

Greatest Common Factor of 95,887,188 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,887,188 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 887

List of positive integer factors of 887 that divides 887 without a remainder.

1,887

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Greatest Common Factor

We found the factors 95,887,188 . The biggest common factor number is the GCF number.
So the greatest common factor 95,887,188 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 89/95, 16/887, 584/188

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 89/95, 16/887, 584/188?

Answer: LCM of Numerators as per given numbers 89/95, 16/887, 584/188 is

LCM of Numerators i.e. for 89,16,584 is 103952

GCF of denominators i.e. for 95,887,188 is 1.

Thus, LCM of Fractions is 103952.Finally, LCM of Fractions for 89/95, 16/887, 584/188 is 103952.