Least Common Multiple of 480/28, 294/4127

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 480/28, 294/4127 quickly i.e. 23520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 480/28, 294/4127 is 23520.

LCM(480/28, 294/4127) = 23520

LCM of 480/28, 294/4127

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 480/28,294/4127

Given numbers are 480/28,294/4127

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 480,294

Least Common Multiple of Numerators i.e. LCM of 480,294 is 23520.

GCF of Denominators means GCF of 28,4127 as per the given fractions.

GCF of 28,4127 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 480,294

LCM of Fractions 480/28,294/4127 is 23520

2 480, 294
3 240, 147
80, 49

∴ So the LCM of the given numbers is 2 x 3 x 80 x 49 = 23520

Least Common Multiple of 480,294 with GCF Formula

Least Common Multiple of 480,294 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 480,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,294) = 6

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

GCF(480,294) x common factors =6 x 1 = 6

LCM(480,294) = ( 480 × 294 ) / 6

LCM(480,294) = 141120 / 6

LCM(480,294) = 23520


Lets's calculate GCF of 28,4127

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23520/1

Therefore the LCM of Fractions 480/28,294/4127 is 23520

Greatest Common Factor of 28,4127 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,4127 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 4127

List of positive integer factors of 4127 that divides 4127 without a remainder.

1,4127

Greatest Common Factor

We found the factors 28,4127 . The biggest common factor number is the GCF number.
So the greatest common factor 28,4127 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 480/28, 294/4127

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 480/28, 294/4127?

Answer: LCM of Numerators as per given numbers 480/28, 294/4127 is

LCM of Numerators i.e. for 480,294 is 23520

GCF of denominators i.e. for 28,4127 is 1.

Thus, LCM of Fractions is 23520.Finally, LCM of Fractions for 480/28, 294/4127 is 23520.