Least Common Multiple of 478/84, 5120/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 478/84, 5120/322 quickly i.e. 1223680/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 478/84, 5120/322 is 1223680/14.

LCM(478/84, 5120/322) = 1223680/14

LCM of 478/84, 5120/322

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 478/84,5120/322

Given numbers are 478/84,5120/322

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 478,5120

Least Common Multiple of Numerators i.e. LCM of 478,5120 is 1223680.

GCF of Denominators means GCF of 84,322 as per the given fractions.

GCF of 84,322 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 478,5120

LCM of Fractions 478/84,5120/322 is 1223680/14

2 478, 5120
239, 2560

∴ So the LCM of the given numbers is 2 x 239 x 2560 = 1223680

Least Common Multiple of 478,5120 with GCF Formula

Least Common Multiple of 478,5120 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 478,5120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,5120) = 2

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

GCF(478,5120) x common factors =2 x 1 = 2

LCM(478,5120) = ( 478 × 5120 ) / 2

LCM(478,5120) = 2447360 / 2

LCM(478,5120) = 1223680


Lets's calculate GCF of 84,322

2 84, 322
7 42, 161
6, 23

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1223680/14

Therefore the LCM of Fractions 478/84,5120/322 is 1223680/14

Greatest Common Factor of 84,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,322 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 84,322 . The biggest common factor number is the GCF number.
So the greatest common factor 84,322 is 14.


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 478/84, 5120/322

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 478/84, 5120/322?

Answer: LCM of Numerators as per given numbers 478/84, 5120/322 is

LCM of Numerators i.e. for 478,5120 is 1223680

GCF of denominators i.e. for 84,322 is 14.

Thus, LCM of Fractions is 1223680/14.Finally, LCM of Fractions for 478/84, 5120/322 is 1223680/14.