Least Common Multiple of 334/480, 8523/2122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 334/480, 8523/2122 quickly i.e. 1423341 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 334/480, 8523/2122 is 1423341.

LCM(334/480, 8523/2122) = 1423341

LCM of 334/480, 8523/2122

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 334/480,8523/2122

Given numbers are 334/480,8523/2122

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 334,8523

Least Common Multiple of Numerators i.e. LCM of 334,8523 is 2846682.

GCF of Denominators means GCF of 480,2122 as per the given fractions.

GCF of 480,2122 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 334,8523

LCM of Fractions 334/480,8523/2122 is 1423341

Given numbers has no common factors except 1. So, there LCM is their product i.e 2846682

Least Common Multiple of 334,8523 with GCF Formula

Least Common Multiple of 334,8523 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 334,8523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,8523) = 1

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

GCF(334,8523) x common factors =1 x 1 = 1

LCM(334,8523) = ( 334 × 8523 ) / 1

LCM(334,8523) = 2846682 / 1

LCM(334,8523) = 2846682


Lets's calculate GCF of 480,2122

2 480, 2122
240, 1061

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2846682/2

Therefore the LCM of Fractions 334/480,8523/2122 is 1423341

Greatest Common Factor of 480,2122 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,2122 By Matching Biggest Common Factor Method

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 2122

List of positive integer factors of 2122 that divides 2122 without a remainder.

1,2,1061,2122

Greatest Common Factor

We found the factors 480,2122 . The biggest common factor number is the GCF number.
So the greatest common factor 480,2122 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 334/480, 8523/2122

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 334/480, 8523/2122?

Answer: LCM of Numerators as per given numbers 334/480, 8523/2122 is

LCM of Numerators i.e. for 334,8523 is 2846682

GCF of denominators i.e. for 480,2122 is 2.

Thus, LCM of Fractions is 1423341.Finally, LCM of Fractions for 334/480, 8523/2122 is 1423341.