Least Common Multiple of 6422/478, 1180/8780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6422/478, 1180/8780 quickly i.e. 1894490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6422/478, 1180/8780 is 1894490.

LCM(6422/478, 1180/8780) = 1894490

LCM of 6422/478, 1180/8780

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 6422/478,1180/8780

Given numbers are 6422/478,1180/8780

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 6422,1180

Least Common Multiple of Numerators i.e. LCM of 6422,1180 is 3788980.

GCF of Denominators means GCF of 478,8780 as per the given fractions.

GCF of 478,8780 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6422,1180

LCM of Fractions 6422/478,1180/8780 is 1894490

2 6422, 1180
3211, 590

∴ So the LCM of the given numbers is 2 x 3211 x 590 = 3788980

Least Common Multiple of 6422,1180 with GCF Formula

Least Common Multiple of 6422,1180 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 6422,1180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6422,1180) = 2

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

GCF(6422,1180) x common factors =2 x 1 = 2

LCM(6422,1180) = ( 6422 × 1180 ) / 2

LCM(6422,1180) = 7577960 / 2

LCM(6422,1180) = 3788980


Lets's calculate GCF of 478,8780

2 478, 8780
239, 4390

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3788980/2

Therefore the LCM of Fractions 6422/478,1180/8780 is 1894490

Greatest Common Factor of 478,8780 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,8780 By Matching Biggest Common Factor Method

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 8780

List of positive integer factors of 8780 that divides 8780 without a remainder.

1,2,4,5,10,20,439,878,1756,2195,4390,8780

Greatest Common Factor

We found the factors 478,8780 . The biggest common factor number is the GCF number.
So the greatest common factor 478,8780 is 2.


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 6422/478, 1180/8780

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 6422/478, 1180/8780?

Answer: LCM of Numerators as per given numbers 6422/478, 1180/8780 is

LCM of Numerators i.e. for 6422,1180 is 3788980

GCF of denominators i.e. for 478,8780 is 2.

Thus, LCM of Fractions is 1894490.Finally, LCM of Fractions for 6422/478, 1180/8780 is 1894490.