Least Common Multiple of 59/22, 84/94, 177/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/22, 84/94, 177/160 quickly i.e. 2478 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/22, 84/94, 177/160 is 2478.

LCM(59/22, 84/94, 177/160) = 2478

LCM of 59/22, 84/94, 177/160

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 59/22,84/94,177/160

Given numbers are 59/22,84/94,177/160

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 59,84,177

Least Common Multiple of Numerators i.e. LCM of 59,84,177 is 4956.

GCF of Denominators means GCF of 22,94,160 as per the given fractions.

GCF of 22,94,160 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,84,177

LCM of Fractions 59/22,84/94,177/160 is 2478

3 59, 84, 177
59 59, 28, 59
1, 28, 1

∴ So the LCM of the given numbers is 3 x 59 x 1 x 28 x 1 = 4956

Least Common Multiple of 59,84,177 with GCF Formula

Least Common Multiple of 59,84,177 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 59,84,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,84,177) = 1

common factors(in case of two or more numbers have common factors) = 177

GCF(59,84,177) x common factors =1 x 177 = 177

LCM(59,84,177) = ( 59 × 84 × 177 ) / 177

LCM(59,84,177) = 877212 / 177

LCM(59,84,177) = 4956


Lets's calculate GCF of 22,94,160

2 22, 94, 160
11, 47, 80

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4956/2

Therefore the LCM of Fractions 59/22,84/94,177/160 is 2478

Greatest Common Factor of 22,94,160 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,94,160 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Greatest Common Factor

We found the factors 22,94,160 . The biggest common factor number is the GCF number.
So the greatest common factor 22,94,160 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 59/22, 84/94, 177/160

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 59/22, 84/94, 177/160?

Answer: LCM of Numerators as per given numbers 59/22, 84/94, 177/160 is

LCM of Numerators i.e. for 59,84,177 is 4956

GCF of denominators i.e. for 22,94,160 is 2.

Thus, LCM of Fractions is 2478.Finally, LCM of Fractions for 59/22, 84/94, 177/160 is 2478.