Least Common Multiple of 87/274, 626/890, 908/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/274, 626/890, 908/986 quickly i.e. 12362874 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/274, 626/890, 908/986 is 12362874.

LCM(87/274, 626/890, 908/986) = 12362874

LCM of 87/274, 626/890, 908/986

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 87/274,626/890,908/986

Given numbers are 87/274,626/890,908/986

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 87,626,908

Least Common Multiple of Numerators i.e. LCM of 87,626,908 is 24725748.

GCF of Denominators means GCF of 274,890,986 as per the given fractions.

GCF of 274,890,986 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,626,908

LCM of Fractions 87/274,626/890,908/986 is 12362874

2 87, 626, 908
87, 313, 454

∴ So the LCM of the given numbers is 2 x 87 x 313 x 454 = 24725748

Least Common Multiple of 87,626,908 with GCF Formula

Least Common Multiple of 87,626,908 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 87,626,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,626,908) = 1

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

GCF(87,626,908) x common factors =1 x 2 = 2

LCM(87,626,908) = ( 87 × 626 × 908 ) / 2

LCM(87,626,908) = 49451496 / 2

LCM(87,626,908) = 24725748


Lets's calculate GCF of 274,890,986

2 274, 890, 986
137, 445, 493

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24725748/2

Therefore the LCM of Fractions 87/274,626/890,908/986 is 12362874

Greatest Common Factor of 274,890,986 By Matching Biggest Common Factor Method

Greatest Common Factor of 274,890,986 By Matching Biggest Common Factor Method

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Greatest Common Factor

We found the factors 274,890,986 . The biggest common factor number is the GCF number.
So the greatest common factor 274,890,986 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 87/274, 626/890, 908/986

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 87/274, 626/890, 908/986?

Answer: LCM of Numerators as per given numbers 87/274, 626/890, 908/986 is

LCM of Numerators i.e. for 87,626,908 is 24725748

GCF of denominators i.e. for 274,890,986 is 2.

Thus, LCM of Fractions is 12362874.Finally, LCM of Fractions for 87/274, 626/890, 908/986 is 12362874.