Least Common Multiple of 6376/877, 5108/6059

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6376/877, 5108/6059 quickly i.e. 8142152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6376/877, 5108/6059 is 8142152.

LCM(6376/877, 5108/6059) = 8142152

LCM of 6376/877, 5108/6059

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 6376/877,5108/6059

Given numbers are 6376/877,5108/6059

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 6376,5108

Least Common Multiple of Numerators i.e. LCM of 6376,5108 is 8142152.

GCF of Denominators means GCF of 877,6059 as per the given fractions.

GCF of 877,6059 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6376,5108

LCM of Fractions 6376/877,5108/6059 is 8142152

2 6376, 5108
2 3188, 2554
1594, 1277

∴ So the LCM of the given numbers is 2 x 2 x 1594 x 1277 = 8142152

Least Common Multiple of 6376,5108 with GCF Formula

Least Common Multiple of 6376,5108 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 6376,5108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6376,5108) = 4

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

GCF(6376,5108) x common factors =4 x 1 = 4

LCM(6376,5108) = ( 6376 × 5108 ) / 4

LCM(6376,5108) = 32568608 / 4

LCM(6376,5108) = 8142152


Lets's calculate GCF of 877,6059

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8142152/1

Therefore the LCM of Fractions 6376/877,5108/6059 is 8142152

Greatest Common Factor of 877,6059 By Matching Biggest Common Factor Method

Greatest Common Factor of 877,6059 By Matching Biggest Common Factor Method

Factors of 877

List of positive integer factors of 877 that divides 877 without a remainder.

1,877

Factors of 6059

List of positive integer factors of 6059 that divides 6059 without a remainder.

1,73,83,6059

Greatest Common Factor

We found the factors 877,6059 . The biggest common factor number is the GCF number.
So the greatest common factor 877,6059 is 1.


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 6376/877, 5108/6059

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 6376/877, 5108/6059?

Answer: LCM of Numerators as per given numbers 6376/877, 5108/6059 is

LCM of Numerators i.e. for 6376,5108 is 8142152

GCF of denominators i.e. for 877,6059 is 1.

Thus, LCM of Fractions is 8142152.Finally, LCM of Fractions for 6376/877, 5108/6059 is 8142152.