Least Common Multiple of 856/276, 2209/932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 856/276, 2209/932 quickly i.e. 472726 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 856/276, 2209/932 is 472726.

LCM(856/276, 2209/932) = 472726

LCM of 856/276, 2209/932

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 856/276,2209/932

Given numbers are 856/276,2209/932

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 856,2209

Least Common Multiple of Numerators i.e. LCM of 856,2209 is 1890904.

GCF of Denominators means GCF of 276,932 as per the given fractions.

GCF of 276,932 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 856,2209

LCM of Fractions 856/276,2209/932 is 472726

Given numbers has no common factors except 1. So, there LCM is their product i.e 1890904

Least Common Multiple of 856,2209 with GCF Formula

Least Common Multiple of 856,2209 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 856,2209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(856,2209) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(856,2209) x common factors =1 x 1 = 1

LCM(856,2209) = ( 856 × 2209 ) / 1

LCM(856,2209) = 1890904 / 1

LCM(856,2209) = 1890904


Lets's calculate GCF of 276,932

2 276, 932
2 138, 466
69, 233

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1890904/4

Therefore the LCM of Fractions 856/276,2209/932 is 472726

Greatest Common Factor of 276,932 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,932 By Matching Biggest Common Factor Method

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

Greatest Common Factor

We found the factors 276,932 . The biggest common factor number is the GCF number.
So the greatest common factor 276,932 is 4.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 856/276, 2209/932

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 856/276, 2209/932?

Answer: LCM of Numerators as per given numbers 856/276, 2209/932 is

LCM of Numerators i.e. for 856,2209 is 1890904

GCF of denominators i.e. for 276,932 is 4.

Thus, LCM of Fractions is 472726.Finally, LCM of Fractions for 856/276, 2209/932 is 472726.