Least Common Multiple of 54/16, 25/84, 99/61, 10/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/16, 25/84, 99/61, 10/162 quickly i.e. 14850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/16, 25/84, 99/61, 10/162 is 14850.

LCM(54/16, 25/84, 99/61, 10/162) = 14850

LCM of 54/16, 25/84, 99/61, 10/162

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 54/16,25/84,99/61,10/162

Given numbers are 54/16,25/84,99/61,10/162

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 54,25,99,10

Least Common Multiple of Numerators i.e. LCM of 54,25,99,10 is 14850.

GCF of Denominators means GCF of 16,84,61,162 as per the given fractions.

GCF of 16,84,61,162 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,25,99,10

LCM of Fractions 54/16,25/84,99/61,10/162 is 14850

2 54, 25, 99, 10
3 27, 25, 99, 5
3 9, 25, 33, 5
5 3, 25, 11, 5
3, 1, 11, 5

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 3 x 1 x 11 x 5 = 14850

Least Common Multiple of 54,25,99,10 with GCF Formula

Least Common Multiple of 54,25,99,10 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 54,25,99,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,25,99,10) = 1

common factors(in case of two or more numbers have common factors) = 90

GCF(54,25,99,10) x common factors =1 x 90 = 90

LCM(54,25,99,10) = ( 54 × 25 × 99 × 10 ) / 90

LCM(54,25,99,10) = 1336500 / 90

LCM(54,25,99,10) = 14850


Lets's calculate GCF of 16,84,61,162

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14850/1

Therefore the LCM of Fractions 54/16,25/84,99/61,10/162 is 14850

Greatest Common Factor of 16,84,61,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,84,61,162 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 16,84,61,162 . The biggest common factor number is the GCF number.
So the greatest common factor 16,84,61,162 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 54/16, 25/84, 99/61, 10/162

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 54/16, 25/84, 99/61, 10/162?

Answer: LCM of Numerators as per given numbers 54/16, 25/84, 99/61, 10/162 is

LCM of Numerators i.e. for 54,25,99,10 is 14850

GCF of denominators i.e. for 16,84,61,162 is 1.

Thus, LCM of Fractions is 14850.Finally, LCM of Fractions for 54/16, 25/84, 99/61, 10/162 is 14850.