Least Common Multiple of 54/70, 30/10, 921/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/70, 30/10, 921/200 quickly i.e. 8289 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/70, 30/10, 921/200 is 8289.

LCM(54/70, 30/10, 921/200) = 8289

LCM of 54/70, 30/10, 921/200

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 54/70,30/10,921/200

Given numbers are 54/70,30/10,921/200

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 54,30,921

Least Common Multiple of Numerators i.e. LCM of 54,30,921 is 82890.

GCF of Denominators means GCF of 70,10,200 as per the given fractions.

GCF of 70,10,200 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,30,921

LCM of Fractions 54/70,30/10,921/200 is 8289

2 54, 30, 921
3 27, 15, 921
9, 5, 307

∴ So the LCM of the given numbers is 2 x 3 x 9 x 5 x 307 = 82890

Least Common Multiple of 54,30,921 with GCF Formula

Least Common Multiple of 54,30,921 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 54,30,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,30,921) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(54,30,921) x common factors =3 x 6 = 18

LCM(54,30,921) = ( 54 × 30 × 921 ) / 18

LCM(54,30,921) = 1492020 / 18

LCM(54,30,921) = 82890


Lets's calculate GCF of 70,10,200

2 70, 10, 200
5 35, 5, 100
7, 1, 20

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82890/10

Therefore the LCM of Fractions 54/70,30/10,921/200 is 8289

Greatest Common Factor of 70,10,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,10,200 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 70,10,200 . The biggest common factor number is the GCF number.
So the greatest common factor 70,10,200 is 10.


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 54/70, 30/10, 921/200

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 54/70, 30/10, 921/200?

Answer: LCM of Numerators as per given numbers 54/70, 30/10, 921/200 is

LCM of Numerators i.e. for 54,30,921 is 82890

GCF of denominators i.e. for 70,10,200 is 10.

Thus, LCM of Fractions is 8289.Finally, LCM of Fractions for 54/70, 30/10, 921/200 is 8289.