Least Common Multiple of 20/978, 99/954, 816/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/978, 99/954, 816/224 quickly i.e. 67320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/978, 99/954, 816/224 is 67320.

LCM(20/978, 99/954, 816/224) = 67320

LCM of 20/978, 99/954, 816/224

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 20/978,99/954,816/224

Given numbers are 20/978,99/954,816/224

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 20,99,816

Least Common Multiple of Numerators i.e. LCM of 20,99,816 is 134640.

GCF of Denominators means GCF of 978,954,224 as per the given fractions.

GCF of 978,954,224 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,99,816

LCM of Fractions 20/978,99/954,816/224 is 67320

2 20, 99, 816
2 10, 99, 408
3 5, 99, 204
5, 33, 68

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 33 x 68 = 134640

Least Common Multiple of 20,99,816 with GCF Formula

Least Common Multiple of 20,99,816 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 20,99,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,99,816) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(20,99,816) x common factors =1 x 12 = 12

LCM(20,99,816) = ( 20 × 99 × 816 ) / 12

LCM(20,99,816) = 1615680 / 12

LCM(20,99,816) = 134640


Lets's calculate GCF of 978,954,224

2 978, 954, 224
489, 477, 112

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134640/2

Therefore the LCM of Fractions 20/978,99/954,816/224 is 67320

Greatest Common Factor of 978,954,224 By Matching Biggest Common Factor Method

Greatest Common Factor of 978,954,224 By Matching Biggest Common Factor Method

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Greatest Common Factor

We found the factors 978,954,224 . The biggest common factor number is the GCF number.
So the greatest common factor 978,954,224 is 2.


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 20/978, 99/954, 816/224

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 20/978, 99/954, 816/224?

Answer: LCM of Numerators as per given numbers 20/978, 99/954, 816/224 is

LCM of Numerators i.e. for 20,99,816 is 134640

GCF of denominators i.e. for 978,954,224 is 2.

Thus, LCM of Fractions is 67320.Finally, LCM of Fractions for 20/978, 99/954, 816/224 is 67320.