Least Common Multiple of 862/387, 5629/7758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 862/387, 5629/7758 quickly i.e. 4852198/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 862/387, 5629/7758 is 4852198/9.

LCM(862/387, 5629/7758) = 4852198/9

LCM of 862/387, 5629/7758

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 862/387,5629/7758

Given numbers are 862/387,5629/7758

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 862,5629

Least Common Multiple of Numerators i.e. LCM of 862,5629 is 4852198.

GCF of Denominators means GCF of 387,7758 as per the given fractions.

GCF of 387,7758 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 862,5629

LCM of Fractions 862/387,5629/7758 is 4852198/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 4852198

Least Common Multiple of 862,5629 with GCF Formula

Least Common Multiple of 862,5629 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 862,5629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(862,5629) = 1

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

GCF(862,5629) x common factors =1 x 1 = 1

LCM(862,5629) = ( 862 × 5629 ) / 1

LCM(862,5629) = 4852198 / 1

LCM(862,5629) = 4852198


Lets's calculate GCF of 387,7758

3 387, 7758
3 129, 2586
43, 862

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4852198/9

Therefore the LCM of Fractions 862/387,5629/7758 is 4852198/9

Greatest Common Factor of 387,7758 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,7758 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 7758

List of positive integer factors of 7758 that divides 7758 without a remainder.

1,2,3,6,9,18,431,862,1293,2586,3879,7758

Greatest Common Factor

We found the factors 387,7758 . The biggest common factor number is the GCF number.
So the greatest common factor 387,7758 is 9.


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 862/387, 5629/7758

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 862/387, 5629/7758?

Answer: LCM of Numerators as per given numbers 862/387, 5629/7758 is

LCM of Numerators i.e. for 862,5629 is 4852198

GCF of denominators i.e. for 387,7758 is 9.

Thus, LCM of Fractions is 4852198/9.Finally, LCM of Fractions for 862/387, 5629/7758 is 4852198/9.