Least Common Multiple of 950/60, 621/81, 912/27

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 950/60, 621/81, 912/27 quickly i.e. 1573200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 950/60, 621/81, 912/27 is 1573200.

LCM(950/60, 621/81, 912/27) = 1573200

LCM of 950/60, 621/81, 912/27

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 950/60,621/81,912/27

Given numbers are 950/60,621/81,912/27

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 950,621,912

Least Common Multiple of Numerators i.e. LCM of 950,621,912 is 4719600.

GCF of Denominators means GCF of 60,81,27 as per the given fractions.

GCF of 60,81,27 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 950,621,912

LCM of Fractions 950/60,621/81,912/27 is 1573200

2 950, 621, 912
3 475, 621, 456
19 475, 207, 152
25, 207, 8

∴ So the LCM of the given numbers is 2 x 3 x 19 x 25 x 207 x 8 = 4719600

Least Common Multiple of 950,621,912 with GCF Formula

Least Common Multiple of 950,621,912 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 950,621,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(950,621,912) = 1

common factors(in case of two or more numbers have common factors) = 114

GCF(950,621,912) x common factors =1 x 114 = 114

LCM(950,621,912) = ( 950 × 621 × 912 ) / 114

LCM(950,621,912) = 538034400 / 114

LCM(950,621,912) = 4719600


Lets's calculate GCF of 60,81,27

3 60, 81, 27
20, 27, 9

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4719600/3

Therefore the LCM of Fractions 950/60,621/81,912/27 is 1573200

Greatest Common Factor of 60,81,27 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,81,27 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 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Greatest Common Factor

We found the factors 60,81,27 . The biggest common factor number is the GCF number.
So the greatest common factor 60,81,27 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 950/60, 621/81, 912/27

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 950/60, 621/81, 912/27?

Answer: LCM of Numerators as per given numbers 950/60, 621/81, 912/27 is

LCM of Numerators i.e. for 950,621,912 is 4719600

GCF of denominators i.e. for 60,81,27 is 3.

Thus, LCM of Fractions is 1573200.Finally, LCM of Fractions for 950/60, 621/81, 912/27 is 1573200.