Least Common Multiple of 220/107, 288/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 220/107, 288/464 quickly i.e. 15840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 220/107, 288/464 is 15840.

LCM(220/107, 288/464) = 15840

LCM of 220/107, 288/464

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 220/107,288/464

Given numbers are 220/107,288/464

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 220,288

Least Common Multiple of Numerators i.e. LCM of 220,288 is 15840.

GCF of Denominators means GCF of 107,464 as per the given fractions.

GCF of 107,464 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 220,288

LCM of Fractions 220/107,288/464 is 15840

2 220, 288
2 110, 144
55, 72

∴ So the LCM of the given numbers is 2 x 2 x 55 x 72 = 15840

Least Common Multiple of 220,288 with GCF Formula

Least Common Multiple of 220,288 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 220,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,288) = 4

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

GCF(220,288) x common factors =4 x 1 = 4

LCM(220,288) = ( 220 × 288 ) / 4

LCM(220,288) = 63360 / 4

LCM(220,288) = 15840


Lets's calculate GCF of 107,464

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15840/1

Therefore the LCM of Fractions 220/107,288/464 is 15840

Greatest Common Factor of 107,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 107,464 By Matching Biggest Common Factor Method

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 107,464 . The biggest common factor number is the GCF number.
So the greatest common factor 107,464 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 220/107, 288/464

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 220/107, 288/464?

Answer: LCM of Numerators as per given numbers 220/107, 288/464 is

LCM of Numerators i.e. for 220,288 is 15840

GCF of denominators i.e. for 107,464 is 1.

Thus, LCM of Fractions is 15840.Finally, LCM of Fractions for 220/107, 288/464 is 15840.