Least Common Multiple of 50/24, 892/90, 686/927

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 50/24, 892/90, 686/927 quickly i.e. 7648900/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/24, 892/90, 686/927 is 7648900/3.

LCM(50/24, 892/90, 686/927) = 7648900/3

LCM of 50/24, 892/90, 686/927

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 50/24,892/90,686/927

Given numbers are 50/24,892/90,686/927

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 50,892,686

Least Common Multiple of Numerators i.e. LCM of 50,892,686 is 7648900.

GCF of Denominators means GCF of 24,90,927 as per the given fractions.

GCF of 24,90,927 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,892,686

LCM of Fractions 50/24,892/90,686/927 is 7648900/3

2 50, 892, 686
25, 446, 343

∴ So the LCM of the given numbers is 2 x 25 x 446 x 343 = 7648900

Least Common Multiple of 50,892,686 with GCF Formula

Least Common Multiple of 50,892,686 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 50,892,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,892,686) = 2

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

GCF(50,892,686) x common factors =2 x 2 = 4

LCM(50,892,686) = ( 50 × 892 × 686 ) / 4

LCM(50,892,686) = 30595600 / 4

LCM(50,892,686) = 7648900


Lets's calculate GCF of 24,90,927

3 24, 90, 927
8, 30, 309

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7648900/3

Therefore the LCM of Fractions 50/24,892/90,686/927 is 7648900/3

Greatest Common Factor of 24,90,927 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,90,927 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Greatest Common Factor

We found the factors 24,90,927 . The biggest common factor number is the GCF number.
So the greatest common factor 24,90,927 is 3.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 50/24, 892/90, 686/927

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 50/24, 892/90, 686/927?

Answer: LCM of Numerators as per given numbers 50/24, 892/90, 686/927 is

LCM of Numerators i.e. for 50,892,686 is 7648900

GCF of denominators i.e. for 24,90,927 is 3.

Thus, LCM of Fractions is 7648900/3.Finally, LCM of Fractions for 50/24, 892/90, 686/927 is 7648900/3.