Least Common Multiple of 280/138, 5567/4455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 280/138, 5567/4455 quickly i.e. 1558760/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 280/138, 5567/4455 is 1558760/3.

LCM(280/138, 5567/4455) = 1558760/3

LCM of 280/138, 5567/4455

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 280/138,5567/4455

Given numbers are 280/138,5567/4455

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 280,5567

Least Common Multiple of Numerators i.e. LCM of 280,5567 is 1558760.

GCF of Denominators means GCF of 138,4455 as per the given fractions.

GCF of 138,4455 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 280,5567

LCM of Fractions 280/138,5567/4455 is 1558760/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 1558760

Least Common Multiple of 280,5567 with GCF Formula

Least Common Multiple of 280,5567 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 280,5567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,5567) = 1

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

GCF(280,5567) x common factors =1 x 1 = 1

LCM(280,5567) = ( 280 × 5567 ) / 1

LCM(280,5567) = 1558760 / 1

LCM(280,5567) = 1558760


Lets's calculate GCF of 138,4455

3 138, 4455
46, 1485

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1558760/3

Therefore the LCM of Fractions 280/138,5567/4455 is 1558760/3

Greatest Common Factor of 138,4455 By Matching Biggest Common Factor Method

Greatest Common Factor of 138,4455 By Matching Biggest Common Factor Method

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 4455

List of positive integer factors of 4455 that divides 4455 without a remainder.

1,3,5,9,11,15,27,33,45,55,81,99,135,165,297,405,495,891,1485,4455

Greatest Common Factor

We found the factors 138,4455 . The biggest common factor number is the GCF number.
So the greatest common factor 138,4455 is 3.


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 280/138, 5567/4455

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 280/138, 5567/4455?

Answer: LCM of Numerators as per given numbers 280/138, 5567/4455 is

LCM of Numerators i.e. for 280,5567 is 1558760

GCF of denominators i.e. for 138,4455 is 3.

Thus, LCM of Fractions is 1558760/3.Finally, LCM of Fractions for 280/138, 5567/4455 is 1558760/3.