Least Common Multiple of 480/60, 922/4304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 480/60, 922/4304 quickly i.e. 55320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 480/60, 922/4304 is 55320.

LCM(480/60, 922/4304) = 55320

LCM of 480/60, 922/4304

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 480/60,922/4304

Given numbers are 480/60,922/4304

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 480,922

Least Common Multiple of Numerators i.e. LCM of 480,922 is 221280.

GCF of Denominators means GCF of 60,4304 as per the given fractions.

GCF of 60,4304 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 480,922

LCM of Fractions 480/60,922/4304 is 55320

2 480, 922
240, 461

∴ So the LCM of the given numbers is 2 x 240 x 461 = 221280

Least Common Multiple of 480,922 with GCF Formula

Least Common Multiple of 480,922 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 480,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,922) = 2

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

GCF(480,922) x common factors =2 x 1 = 2

LCM(480,922) = ( 480 × 922 ) / 2

LCM(480,922) = 442560 / 2

LCM(480,922) = 221280


Lets's calculate GCF of 60,4304

2 60, 4304
2 30, 2152
15, 1076

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 221280/4

Therefore the LCM of Fractions 480/60,922/4304 is 55320

Greatest Common Factor of 60,4304 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,4304 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 4304

List of positive integer factors of 4304 that divides 4304 without a remainder.

1,2,4,8,16,269,538,1076,2152,4304

Greatest Common Factor

We found the factors 60,4304 . The biggest common factor number is the GCF number.
So the greatest common factor 60,4304 is 4.


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 480/60, 922/4304

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 480/60, 922/4304?

Answer: LCM of Numerators as per given numbers 480/60, 922/4304 is

LCM of Numerators i.e. for 480,922 is 221280

GCF of denominators i.e. for 60,4304 is 4.

Thus, LCM of Fractions is 55320.Finally, LCM of Fractions for 480/60, 922/4304 is 55320.