Least Common Multiple of 8905/376, 6812/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8905/376, 6812/142 quickly i.e. 2333110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8905/376, 6812/142 is 2333110.

LCM(8905/376, 6812/142) = 2333110

LCM of 8905/376, 6812/142

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 8905/376,6812/142

Given numbers are 8905/376,6812/142

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 8905,6812

Least Common Multiple of Numerators i.e. LCM of 8905,6812 is 4666220.

GCF of Denominators means GCF of 376,142 as per the given fractions.

GCF of 376,142 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8905,6812

LCM of Fractions 8905/376,6812/142 is 2333110

13 8905, 6812
685, 524

∴ So the LCM of the given numbers is 13 x 685 x 524 = 4666220

Least Common Multiple of 8905,6812 with GCF Formula

Least Common Multiple of 8905,6812 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 8905,6812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8905,6812) = 13

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

GCF(8905,6812) x common factors =13 x 1 = 13

LCM(8905,6812) = ( 8905 × 6812 ) / 13

LCM(8905,6812) = 60660860 / 13

LCM(8905,6812) = 4666220


Lets's calculate GCF of 376,142

2 376, 142
188, 71

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4666220/2

Therefore the LCM of Fractions 8905/376,6812/142 is 2333110

Greatest Common Factor of 376,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 376,142 By Matching Biggest Common Factor Method

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 376,142 . The biggest common factor number is the GCF number.
So the greatest common factor 376,142 is 2.


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 8905/376, 6812/142

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 8905/376, 6812/142?

Answer: LCM of Numerators as per given numbers 8905/376, 6812/142 is

LCM of Numerators i.e. for 8905,6812 is 4666220

GCF of denominators i.e. for 376,142 is 2.

Thus, LCM of Fractions is 2333110.Finally, LCM of Fractions for 8905/376, 6812/142 is 2333110.