Least Common Multiple of 32/980, 12/311, 470/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/980, 12/311, 470/563 quickly i.e. 22560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/980, 12/311, 470/563 is 22560.

LCM(32/980, 12/311, 470/563) = 22560

LCM of 32/980, 12/311, 470/563

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 32/980,12/311,470/563

Given numbers are 32/980,12/311,470/563

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 32,12,470

Least Common Multiple of Numerators i.e. LCM of 32,12,470 is 22560.

GCF of Denominators means GCF of 980,311,563 as per the given fractions.

GCF of 980,311,563 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,12,470

LCM of Fractions 32/980,12/311,470/563 is 22560

2 32, 12, 470
2 16, 6, 235
8, 3, 235

∴ So the LCM of the given numbers is 2 x 2 x 8 x 3 x 235 = 22560

Least Common Multiple of 32,12,470 with GCF Formula

Least Common Multiple of 32,12,470 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 32,12,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,12,470) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(32,12,470) x common factors =2 x 4 = 8

LCM(32,12,470) = ( 32 × 12 × 470 ) / 8

LCM(32,12,470) = 180480 / 8

LCM(32,12,470) = 22560


Lets's calculate GCF of 980,311,563

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22560/1

Therefore the LCM of Fractions 32/980,12/311,470/563 is 22560

Greatest Common Factor of 980,311,563 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,311,563 By Matching Biggest Common Factor Method

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Greatest Common Factor

We found the factors 980,311,563 . The biggest common factor number is the GCF number.
So the greatest common factor 980,311,563 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 32/980, 12/311, 470/563

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 32/980, 12/311, 470/563?

Answer: LCM of Numerators as per given numbers 32/980, 12/311, 470/563 is

LCM of Numerators i.e. for 32,12,470 is 22560

GCF of denominators i.e. for 980,311,563 is 1.

Thus, LCM of Fractions is 22560.Finally, LCM of Fractions for 32/980, 12/311, 470/563 is 22560.