Least Common Multiple of 89/42, 16/67, 16/21, 54/790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/42, 16/67, 16/21, 54/790 quickly i.e. 38448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/42, 16/67, 16/21, 54/790 is 38448.

LCM(89/42, 16/67, 16/21, 54/790) = 38448

LCM of 89/42, 16/67, 16/21, 54/790

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 89/42,16/67,16/21,54/790

Given numbers are 89/42,16/67,16/21,54/790

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 89,16,16,54

Least Common Multiple of Numerators i.e. LCM of 89,16,16,54 is 38448.

GCF of Denominators means GCF of 42,67,21,790 as per the given fractions.

GCF of 42,67,21,790 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,16,16,54

LCM of Fractions 89/42,16/67,16/21,54/790 is 38448

2 89, 16, 16, 54
2 89, 8, 8, 27
2 89, 4, 4, 27
2 89, 2, 2, 27
89, 1, 1, 27

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 89 x 1 x 1 x 27 = 38448

Least Common Multiple of 89,16,16,54 with GCF Formula

Least Common Multiple of 89,16,16,54 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 89,16,16,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,16,16,54) = 1

common factors(in case of two or more numbers have common factors) = 32

GCF(89,16,16,54) x common factors =1 x 32 = 32

LCM(89,16,16,54) = ( 89 × 16 × 16 × 54 ) / 32

LCM(89,16,16,54) = 1230336 / 32

LCM(89,16,16,54) = 38448


Lets's calculate GCF of 42,67,21,790

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38448/1

Therefore the LCM of Fractions 89/42,16/67,16/21,54/790 is 38448

Greatest Common Factor of 42,67,21,790 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,67,21,790 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Greatest Common Factor

We found the factors 42,67,21,790 . The biggest common factor number is the GCF number.
So the greatest common factor 42,67,21,790 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 89/42, 16/67, 16/21, 54/790

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 89/42, 16/67, 16/21, 54/790?

Answer: LCM of Numerators as per given numbers 89/42, 16/67, 16/21, 54/790 is

LCM of Numerators i.e. for 89,16,16,54 is 38448

GCF of denominators i.e. for 42,67,21,790 is 1.

Thus, LCM of Fractions is 38448.Finally, LCM of Fractions for 89/42, 16/67, 16/21, 54/790 is 38448.