Least Common Multiple of 876/68, 522/4132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 876/68, 522/4132 quickly i.e. 19053 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 876/68, 522/4132 is 19053.

LCM(876/68, 522/4132) = 19053

LCM of 876/68, 522/4132

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 876/68,522/4132

Given numbers are 876/68,522/4132

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 876,522

Least Common Multiple of Numerators i.e. LCM of 876,522 is 76212.

GCF of Denominators means GCF of 68,4132 as per the given fractions.

GCF of 68,4132 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 876,522

LCM of Fractions 876/68,522/4132 is 19053

2 876, 522
3 438, 261
146, 87

∴ So the LCM of the given numbers is 2 x 3 x 146 x 87 = 76212

Least Common Multiple of 876,522 with GCF Formula

Least Common Multiple of 876,522 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 876,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(876,522) = 6

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

GCF(876,522) x common factors =6 x 1 = 6

LCM(876,522) = ( 876 × 522 ) / 6

LCM(876,522) = 457272 / 6

LCM(876,522) = 76212


Lets's calculate GCF of 68,4132

2 68, 4132
2 34, 2066
17, 1033

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76212/4

Therefore the LCM of Fractions 876/68,522/4132 is 19053

Greatest Common Factor of 68,4132 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,4132 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 4132

List of positive integer factors of 4132 that divides 4132 without a remainder.

1,2,4,1033,2066,4132

Greatest Common Factor

We found the factors 68,4132 . The biggest common factor number is the GCF number.
So the greatest common factor 68,4132 is 4.


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 876/68, 522/4132

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 876/68, 522/4132?

Answer: LCM of Numerators as per given numbers 876/68, 522/4132 is

LCM of Numerators i.e. for 876,522 is 76212

GCF of denominators i.e. for 68,4132 is 4.

Thus, LCM of Fractions is 19053.Finally, LCM of Fractions for 876/68, 522/4132 is 19053.