Least Common Multiple of 48/945, 17/666, 400/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/945, 17/666, 400/572 quickly i.e. 20400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/945, 17/666, 400/572 is 20400.

LCM(48/945, 17/666, 400/572) = 20400

LCM of 48/945, 17/666, 400/572

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 48/945,17/666,400/572

Given numbers are 48/945,17/666,400/572

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 48,17,400

Least Common Multiple of Numerators i.e. LCM of 48,17,400 is 20400.

GCF of Denominators means GCF of 945,666,572 as per the given fractions.

GCF of 945,666,572 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,17,400

LCM of Fractions 48/945,17/666,400/572 is 20400

2 48, 17, 400
2 24, 17, 200
2 12, 17, 100
2 6, 17, 50
3, 17, 25

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 17 x 25 = 20400

Least Common Multiple of 48,17,400 with GCF Formula

Least Common Multiple of 48,17,400 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 48,17,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,17,400) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(48,17,400) x common factors =1 x 16 = 16

LCM(48,17,400) = ( 48 × 17 × 400 ) / 16

LCM(48,17,400) = 326400 / 16

LCM(48,17,400) = 20400


Lets's calculate GCF of 945,666,572

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20400/1

Therefore the LCM of Fractions 48/945,17/666,400/572 is 20400

Greatest Common Factor of 945,666,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,666,572 By Matching Biggest Common Factor Method

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

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 945,666,572 . The biggest common factor number is the GCF number.
So the greatest common factor 945,666,572 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 48/945, 17/666, 400/572

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 48/945, 17/666, 400/572?

Answer: LCM of Numerators as per given numbers 48/945, 17/666, 400/572 is

LCM of Numerators i.e. for 48,17,400 is 20400

GCF of denominators i.e. for 945,666,572 is 1.

Thus, LCM of Fractions is 20400.Finally, LCM of Fractions for 48/945, 17/666, 400/572 is 20400.