Least Common Multiple of 280/478, 2783/5442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 280/478, 2783/5442 quickly i.e. 389620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 280/478, 2783/5442 is 389620.

LCM(280/478, 2783/5442) = 389620

LCM of 280/478, 2783/5442

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 280/478,2783/5442

Given numbers are 280/478,2783/5442

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 280,2783

Least Common Multiple of Numerators i.e. LCM of 280,2783 is 779240.

GCF of Denominators means GCF of 478,5442 as per the given fractions.

GCF of 478,5442 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 280,2783

LCM of Fractions 280/478,2783/5442 is 389620

Given numbers has no common factors except 1. So, there LCM is their product i.e 779240

Least Common Multiple of 280,2783 with GCF Formula

Least Common Multiple of 280,2783 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 280,2783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,2783) = 1

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

GCF(280,2783) x common factors =1 x 1 = 1

LCM(280,2783) = ( 280 × 2783 ) / 1

LCM(280,2783) = 779240 / 1

LCM(280,2783) = 779240


Lets's calculate GCF of 478,5442

2 478, 5442
239, 2721

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 779240/2

Therefore the LCM of Fractions 280/478,2783/5442 is 389620

Greatest Common Factor of 478,5442 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,5442 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 5442

List of positive integer factors of 5442 that divides 5442 without a remainder.

1,2,3,6,907,1814,2721,5442

Greatest Common Factor

We found the factors 478,5442 . The biggest common factor number is the GCF number.
So the greatest common factor 478,5442 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 280/478, 2783/5442

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 280/478, 2783/5442?

Answer: LCM of Numerators as per given numbers 280/478, 2783/5442 is

LCM of Numerators i.e. for 280,2783 is 779240

GCF of denominators i.e. for 478,5442 is 2.

Thus, LCM of Fractions is 389620.Finally, LCM of Fractions for 280/478, 2783/5442 is 389620.