Least Common Multiple of 2826/387, 8125/7671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2826/387, 8125/7671 quickly i.e. 7653750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2826/387, 8125/7671 is 7653750.

LCM(2826/387, 8125/7671) = 7653750

LCM of 2826/387, 8125/7671

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 2826/387,8125/7671

Given numbers are 2826/387,8125/7671

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 2826,8125

Least Common Multiple of Numerators i.e. LCM of 2826,8125 is 22961250.

GCF of Denominators means GCF of 387,7671 as per the given fractions.

GCF of 387,7671 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2826,8125

LCM of Fractions 2826/387,8125/7671 is 7653750

Given numbers has no common factors except 1. So, there LCM is their product i.e 22961250

Least Common Multiple of 2826,8125 with GCF Formula

Least Common Multiple of 2826,8125 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 2826,8125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2826,8125) = 1

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

GCF(2826,8125) x common factors =1 x 1 = 1

LCM(2826,8125) = ( 2826 × 8125 ) / 1

LCM(2826,8125) = 22961250 / 1

LCM(2826,8125) = 22961250


Lets's calculate GCF of 387,7671

3 387, 7671
129, 2557

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22961250/3

Therefore the LCM of Fractions 2826/387,8125/7671 is 7653750

Greatest Common Factor of 387,7671 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,7671 By Matching Biggest Common Factor Method

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Factors of 7671

List of positive integer factors of 7671 that divides 7671 without a remainder.

1,3,2557,7671

Greatest Common Factor

We found the factors 387,7671 . The biggest common factor number is the GCF number.
So the greatest common factor 387,7671 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2826/387, 8125/7671

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 2826/387, 8125/7671?

Answer: LCM of Numerators as per given numbers 2826/387, 8125/7671 is

LCM of Numerators i.e. for 2826,8125 is 22961250

GCF of denominators i.e. for 387,7671 is 3.

Thus, LCM of Fractions is 7653750.Finally, LCM of Fractions for 2826/387, 8125/7671 is 7653750.