Least Common Multiple of 60/887, 178/167, 484/361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/887, 178/167, 484/361 quickly i.e. 646140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/887, 178/167, 484/361 is 646140.

LCM(60/887, 178/167, 484/361) = 646140

LCM of 60/887, 178/167, 484/361

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 60/887,178/167,484/361

Given numbers are 60/887,178/167,484/361

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 60,178,484

Least Common Multiple of Numerators i.e. LCM of 60,178,484 is 646140.

GCF of Denominators means GCF of 887,167,361 as per the given fractions.

GCF of 887,167,361 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,178,484

LCM of Fractions 60/887,178/167,484/361 is 646140

2 60, 178, 484
2 30, 89, 242
15, 89, 121

∴ So the LCM of the given numbers is 2 x 2 x 15 x 89 x 121 = 646140

Least Common Multiple of 60,178,484 with GCF Formula

Least Common Multiple of 60,178,484 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 60,178,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,178,484) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(60,178,484) x common factors =2 x 4 = 8

LCM(60,178,484) = ( 60 × 178 × 484 ) / 8

LCM(60,178,484) = 5169120 / 8

LCM(60,178,484) = 646140


Lets's calculate GCF of 887,167,361

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 646140/1

Therefore the LCM of Fractions 60/887,178/167,484/361 is 646140

Greatest Common Factor of 887,167,361 By Matching Biggest Common Factor Method

Greatest Common Factor of 887,167,361 By Matching Biggest Common Factor Method

Factors of 887

List of positive integer factors of 887 that divides 887 without a remainder.

1,887

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Greatest Common Factor

We found the factors 887,167,361 . The biggest common factor number is the GCF number.
So the greatest common factor 887,167,361 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 60/887, 178/167, 484/361

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 60/887, 178/167, 484/361?

Answer: LCM of Numerators as per given numbers 60/887, 178/167, 484/361 is

LCM of Numerators i.e. for 60,178,484 is 646140

GCF of denominators i.e. for 887,167,361 is 1.

Thus, LCM of Fractions is 646140.Finally, LCM of Fractions for 60/887, 178/167, 484/361 is 646140.