Least Common Multiple of 480/894, 5586/124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 480/894, 5586/124 quickly i.e. 223440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 480/894, 5586/124 is 223440.

LCM(480/894, 5586/124) = 223440

LCM of 480/894, 5586/124

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 480/894,5586/124

Given numbers are 480/894,5586/124

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 480,5586

Least Common Multiple of Numerators i.e. LCM of 480,5586 is 446880.

GCF of Denominators means GCF of 894,124 as per the given fractions.

GCF of 894,124 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 480,5586

LCM of Fractions 480/894,5586/124 is 223440

2 480, 5586
3 240, 2793
80, 931

∴ So the LCM of the given numbers is 2 x 3 x 80 x 931 = 446880

Least Common Multiple of 480,5586 with GCF Formula

Least Common Multiple of 480,5586 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 480,5586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,5586) = 6

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

GCF(480,5586) x common factors =6 x 1 = 6

LCM(480,5586) = ( 480 × 5586 ) / 6

LCM(480,5586) = 2681280 / 6

LCM(480,5586) = 446880


Lets's calculate GCF of 894,124

2 894, 124
447, 62

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 446880/2

Therefore the LCM of Fractions 480/894,5586/124 is 223440

Greatest Common Factor of 894,124 By Matching Biggest Common Factor Method

Greatest Common Factor of 894,124 By Matching Biggest Common Factor Method

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Greatest Common Factor

We found the factors 894,124 . The biggest common factor number is the GCF number.
So the greatest common factor 894,124 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 480/894, 5586/124

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 480/894, 5586/124?

Answer: LCM of Numerators as per given numbers 480/894, 5586/124 is

LCM of Numerators i.e. for 480,5586 is 446880

GCF of denominators i.e. for 894,124 is 2.

Thus, LCM of Fractions is 223440.Finally, LCM of Fractions for 480/894, 5586/124 is 223440.