Least Common Multiple of 849/87, 279/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 849/87, 279/871 quickly i.e. 78957 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 849/87, 279/871 is 78957.

LCM(849/87, 279/871) = 78957

LCM of 849/87, 279/871

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 849/87,279/871

Given numbers are 849/87,279/871

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 849,279

Least Common Multiple of Numerators i.e. LCM of 849,279 is 78957.

GCF of Denominators means GCF of 87,871 as per the given fractions.

GCF of 87,871 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 849,279

LCM of Fractions 849/87,279/871 is 78957

3 849, 279
283, 93

∴ So the LCM of the given numbers is 3 x 283 x 93 = 78957

Least Common Multiple of 849,279 with GCF Formula

Least Common Multiple of 849,279 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 849,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,279) = 3

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

GCF(849,279) x common factors =3 x 1 = 3

LCM(849,279) = ( 849 × 279 ) / 3

LCM(849,279) = 236871 / 3

LCM(849,279) = 78957


Lets's calculate GCF of 87,871

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78957/1

Therefore the LCM of Fractions 849/87,279/871 is 78957

Greatest Common Factor of 87,871 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,871 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Greatest Common Factor

We found the factors 87,871 . The biggest common factor number is the GCF number.
So the greatest common factor 87,871 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 849/87, 279/871

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 849/87, 279/871?

Answer: LCM of Numerators as per given numbers 849/87, 279/871 is

LCM of Numerators i.e. for 849,279 is 78957

GCF of denominators i.e. for 87,871 is 1.

Thus, LCM of Fractions is 78957.Finally, LCM of Fractions for 849/87, 279/871 is 78957.