Least Common Multiple of 206/60, 532/22, 916/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 206/60, 532/22, 916/945 quickly i.e. 12548284 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 206/60, 532/22, 916/945 is 12548284.

LCM(206/60, 532/22, 916/945) = 12548284

LCM of 206/60, 532/22, 916/945

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 206/60,532/22,916/945

Given numbers are 206/60,532/22,916/945

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 206,532,916

Least Common Multiple of Numerators i.e. LCM of 206,532,916 is 12548284.

GCF of Denominators means GCF of 60,22,945 as per the given fractions.

GCF of 60,22,945 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 206,532,916

LCM of Fractions 206/60,532/22,916/945 is 12548284

2 206, 532, 916
2 103, 266, 458
103, 133, 229

∴ So the LCM of the given numbers is 2 x 2 x 103 x 133 x 229 = 12548284

Least Common Multiple of 206,532,916 with GCF Formula

Least Common Multiple of 206,532,916 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 206,532,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,532,916) = 2

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

GCF(206,532,916) x common factors =2 x 4 = 8

LCM(206,532,916) = ( 206 × 532 × 916 ) / 8

LCM(206,532,916) = 100386272 / 8

LCM(206,532,916) = 12548284


Lets's calculate GCF of 60,22,945

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12548284/1

Therefore the LCM of Fractions 206/60,532/22,916/945 is 12548284

Greatest Common Factor of 60,22,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,22,945 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 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 60,22,945 . The biggest common factor number is the GCF number.
So the greatest common factor 60,22,945 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 206/60, 532/22, 916/945

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 206/60, 532/22, 916/945?

Answer: LCM of Numerators as per given numbers 206/60, 532/22, 916/945 is

LCM of Numerators i.e. for 206,532,916 is 12548284

GCF of denominators i.e. for 60,22,945 is 1.

Thus, LCM of Fractions is 12548284.Finally, LCM of Fractions for 206/60, 532/22, 916/945 is 12548284.