Least Common Multiple of 20/40, 603/55, 678/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/40, 603/55, 678/470 quickly i.e. 272556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/40, 603/55, 678/470 is 272556.

LCM(20/40, 603/55, 678/470) = 272556

LCM of 20/40, 603/55, 678/470

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 20/40,603/55,678/470

Given numbers are 20/40,603/55,678/470

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 20,603,678

Least Common Multiple of Numerators i.e. LCM of 20,603,678 is 1362780.

GCF of Denominators means GCF of 40,55,470 as per the given fractions.

GCF of 40,55,470 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,603,678

LCM of Fractions 20/40,603/55,678/470 is 272556

2 20, 603, 678
3 10, 603, 339
10, 201, 113

∴ So the LCM of the given numbers is 2 x 3 x 10 x 201 x 113 = 1362780

Least Common Multiple of 20,603,678 with GCF Formula

Least Common Multiple of 20,603,678 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 20,603,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,603,678) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(20,603,678) x common factors =1 x 6 = 6

LCM(20,603,678) = ( 20 × 603 × 678 ) / 6

LCM(20,603,678) = 8176680 / 6

LCM(20,603,678) = 1362780


Lets's calculate GCF of 40,55,470

5 40, 55, 470
8, 11, 94

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1362780/5

Therefore the LCM of Fractions 20/40,603/55,678/470 is 272556

Greatest Common Factor of 40,55,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,55,470 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 40,55,470 . The biggest common factor number is the GCF number.
So the greatest common factor 40,55,470 is 5.


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 20/40, 603/55, 678/470

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 20/40, 603/55, 678/470?

Answer: LCM of Numerators as per given numbers 20/40, 603/55, 678/470 is

LCM of Numerators i.e. for 20,603,678 is 1362780

GCF of denominators i.e. for 40,55,470 is 5.

Thus, LCM of Fractions is 272556.Finally, LCM of Fractions for 20/40, 603/55, 678/470 is 272556.