Least Common Multiple of 421/57, 3867/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 421/57, 3867/129 quickly i.e. 542669 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 421/57, 3867/129 is 542669.

LCM(421/57, 3867/129) = 542669

LCM of 421/57, 3867/129

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 421/57,3867/129

Given numbers are 421/57,3867/129

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 421,3867

Least Common Multiple of Numerators i.e. LCM of 421,3867 is 1628007.

GCF of Denominators means GCF of 57,129 as per the given fractions.

GCF of 57,129 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 421,3867

LCM of Fractions 421/57,3867/129 is 542669

Given numbers has no common factors except 1. So, there LCM is their product i.e 1628007

Least Common Multiple of 421,3867 with GCF Formula

Least Common Multiple of 421,3867 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 421,3867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,3867) = 1

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

GCF(421,3867) x common factors =1 x 1 = 1

LCM(421,3867) = ( 421 × 3867 ) / 1

LCM(421,3867) = 1628007 / 1

LCM(421,3867) = 1628007


Lets's calculate GCF of 57,129

3 57, 129
19, 43

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1628007/3

Therefore the LCM of Fractions 421/57,3867/129 is 542669

Greatest Common Factor of 57,129 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,129 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Greatest Common Factor

We found the factors 57,129 . The biggest common factor number is the GCF number.
So the greatest common factor 57,129 is 3.


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 421/57, 3867/129

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 421/57, 3867/129?

Answer: LCM of Numerators as per given numbers 421/57, 3867/129 is

LCM of Numerators i.e. for 421,3867 is 1628007

GCF of denominators i.e. for 57,129 is 3.

Thus, LCM of Fractions is 542669.Finally, LCM of Fractions for 421/57, 3867/129 is 542669.