Least Common Multiple of 48/598, 242/337, 420/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/598, 242/337, 420/747 quickly i.e. 203280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/598, 242/337, 420/747 is 203280.

LCM(48/598, 242/337, 420/747) = 203280

LCM of 48/598, 242/337, 420/747

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 48/598,242/337,420/747

Given numbers are 48/598,242/337,420/747

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 48,242,420

Least Common Multiple of Numerators i.e. LCM of 48,242,420 is 203280.

GCF of Denominators means GCF of 598,337,747 as per the given fractions.

GCF of 598,337,747 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,242,420

LCM of Fractions 48/598,242/337,420/747 is 203280

2 48, 242, 420
2 24, 121, 210
3 12, 121, 105
4, 121, 35

∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 121 x 35 = 203280

Least Common Multiple of 48,242,420 with GCF Formula

Least Common Multiple of 48,242,420 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 48,242,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,242,420) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(48,242,420) x common factors =2 x 12 = 24

LCM(48,242,420) = ( 48 × 242 × 420 ) / 24

LCM(48,242,420) = 4878720 / 24

LCM(48,242,420) = 203280


Lets's calculate GCF of 598,337,747

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 203280/1

Therefore the LCM of Fractions 48/598,242/337,420/747 is 203280

Greatest Common Factor of 598,337,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 598,337,747 By Matching Biggest Common Factor Method

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Greatest Common Factor

We found the factors 598,337,747 . The biggest common factor number is the GCF number.
So the greatest common factor 598,337,747 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 48/598, 242/337, 420/747

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 48/598, 242/337, 420/747?

Answer: LCM of Numerators as per given numbers 48/598, 242/337, 420/747 is

LCM of Numerators i.e. for 48,242,420 is 203280

GCF of denominators i.e. for 598,337,747 is 1.

Thus, LCM of Fractions is 203280.Finally, LCM of Fractions for 48/598, 242/337, 420/747 is 203280.