Least Common Multiple of 391/724, 4144/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 391/724, 4144/420 quickly i.e. 405076 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 391/724, 4144/420 is 405076.

LCM(391/724, 4144/420) = 405076

LCM of 391/724, 4144/420

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 391/724,4144/420

Given numbers are 391/724,4144/420

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 391,4144

Least Common Multiple of Numerators i.e. LCM of 391,4144 is 1620304.

GCF of Denominators means GCF of 724,420 as per the given fractions.

GCF of 724,420 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 391,4144

LCM of Fractions 391/724,4144/420 is 405076

Given numbers has no common factors except 1. So, there LCM is their product i.e 1620304

Least Common Multiple of 391,4144 with GCF Formula

Least Common Multiple of 391,4144 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 391,4144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(391,4144) = 1

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

GCF(391,4144) x common factors =1 x 1 = 1

LCM(391,4144) = ( 391 × 4144 ) / 1

LCM(391,4144) = 1620304 / 1

LCM(391,4144) = 1620304


Lets's calculate GCF of 724,420

2 724, 420
2 362, 210
181, 105

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1620304/4

Therefore the LCM of Fractions 391/724,4144/420 is 405076

Greatest Common Factor of 724,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 724,420 By Matching Biggest Common Factor Method

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 724,420 . The biggest common factor number is the GCF number.
So the greatest common factor 724,420 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 391/724, 4144/420

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 391/724, 4144/420?

Answer: LCM of Numerators as per given numbers 391/724, 4144/420 is

LCM of Numerators i.e. for 391,4144 is 1620304

GCF of denominators i.e. for 724,420 is 4.

Thus, LCM of Fractions is 405076.Finally, LCM of Fractions for 391/724, 4144/420 is 405076.