Least Common Multiple of 600/92, 887/50, 185/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 600/92, 887/50, 185/213 quickly i.e. 19691400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 600/92, 887/50, 185/213 is 19691400.

LCM(600/92, 887/50, 185/213) = 19691400

LCM of 600/92, 887/50, 185/213

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 600/92,887/50,185/213

Given numbers are 600/92,887/50,185/213

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 600,887,185

Least Common Multiple of Numerators i.e. LCM of 600,887,185 is 19691400.

GCF of Denominators means GCF of 92,50,213 as per the given fractions.

GCF of 92,50,213 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 600,887,185

LCM of Fractions 600/92,887/50,185/213 is 19691400

5 600, 887, 185
120, 887, 37

∴ So the LCM of the given numbers is 5 x 120 x 887 x 37 = 19691400

Least Common Multiple of 600,887,185 with GCF Formula

Least Common Multiple of 600,887,185 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 600,887,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,887,185) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(600,887,185) x common factors =1 x 5 = 5

LCM(600,887,185) = ( 600 × 887 × 185 ) / 5

LCM(600,887,185) = 98457000 / 5

LCM(600,887,185) = 19691400


Lets's calculate GCF of 92,50,213

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19691400/1

Therefore the LCM of Fractions 600/92,887/50,185/213 is 19691400

Greatest Common Factor of 92,50,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,50,213 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 92,50,213 . The biggest common factor number is the GCF number.
So the greatest common factor 92,50,213 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 600/92, 887/50, 185/213

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 600/92, 887/50, 185/213?

Answer: LCM of Numerators as per given numbers 600/92, 887/50, 185/213 is

LCM of Numerators i.e. for 600,887,185 is 19691400

GCF of denominators i.e. for 92,50,213 is 1.

Thus, LCM of Fractions is 19691400.Finally, LCM of Fractions for 600/92, 887/50, 185/213 is 19691400.