Least Common Multiple of 420/238, 5040/545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 420/238, 5040/545 quickly i.e. 5040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 420/238, 5040/545 is 5040.

LCM(420/238, 5040/545) = 5040

LCM of 420/238, 5040/545

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 420/238,5040/545

Given numbers are 420/238,5040/545

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 420,5040

Least Common Multiple of Numerators i.e. LCM of 420,5040 is 5040.

GCF of Denominators means GCF of 238,545 as per the given fractions.

GCF of 238,545 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 420,5040

LCM of Fractions 420/238,5040/545 is 5040

2 420, 5040
2 210, 2520
3 105, 1260
5 35, 420
7 7, 84
1, 12

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 1 x 12 = 5040

Least Common Multiple of 420,5040 with GCF Formula

Least Common Multiple of 420,5040 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 420,5040 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,5040) = 420

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

GCF(420,5040) x common factors =420 x 1 = 420

LCM(420,5040) = ( 420 × 5040 ) / 420

LCM(420,5040) = 2116800 / 420

LCM(420,5040) = 5040


Lets's calculate GCF of 238,545

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5040/1

Therefore the LCM of Fractions 420/238,5040/545 is 5040

Greatest Common Factor of 238,545 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,545 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Greatest Common Factor

We found the factors 238,545 . The biggest common factor number is the GCF number.
So the greatest common factor 238,545 is 1.


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 420/238, 5040/545

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 420/238, 5040/545?

Answer: LCM of Numerators as per given numbers 420/238, 5040/545 is

LCM of Numerators i.e. for 420,5040 is 5040

GCF of denominators i.e. for 238,545 is 1.

Thus, LCM of Fractions is 5040.Finally, LCM of Fractions for 420/238, 5040/545 is 5040.