Least Common Multiple of 427/234, 5180/837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 427/234, 5180/837 quickly i.e. 315980/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 427/234, 5180/837 is 315980/9.

LCM(427/234, 5180/837) = 315980/9

LCM of 427/234, 5180/837

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 427/234,5180/837

Given numbers are 427/234,5180/837

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 427,5180

Least Common Multiple of Numerators i.e. LCM of 427,5180 is 315980.

GCF of Denominators means GCF of 234,837 as per the given fractions.

GCF of 234,837 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 427,5180

LCM of Fractions 427/234,5180/837 is 315980/9

7 427, 5180
61, 740

∴ So the LCM of the given numbers is 7 x 61 x 740 = 315980

Least Common Multiple of 427,5180 with GCF Formula

Least Common Multiple of 427,5180 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 427,5180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(427,5180) = 7

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

GCF(427,5180) x common factors =7 x 1 = 7

LCM(427,5180) = ( 427 × 5180 ) / 7

LCM(427,5180) = 2211860 / 7

LCM(427,5180) = 315980


Lets's calculate GCF of 234,837

3 234, 837
3 78, 279
26, 93

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 315980/9

Therefore the LCM of Fractions 427/234,5180/837 is 315980/9

Greatest Common Factor of 234,837 By Matching Biggest Common Factor Method

Greatest Common Factor of 234,837 By Matching Biggest Common Factor Method

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 234,837 . The biggest common factor number is the GCF number.
So the greatest common factor 234,837 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 427/234, 5180/837

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 427/234, 5180/837?

Answer: LCM of Numerators as per given numbers 427/234, 5180/837 is

LCM of Numerators i.e. for 427,5180 is 315980

GCF of denominators i.e. for 234,837 is 9.

Thus, LCM of Fractions is 315980/9.Finally, LCM of Fractions for 427/234, 5180/837 is 315980/9.