Least Common Multiple of 63/67, 58/60, 31/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/67, 58/60, 31/204 quickly i.e. 113274 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/67, 58/60, 31/204 is 113274.

LCM(63/67, 58/60, 31/204) = 113274

LCM of 63/67, 58/60, 31/204

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 63/67,58/60,31/204

Given numbers are 63/67,58/60,31/204

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 63,58,31

Least Common Multiple of Numerators i.e. LCM of 63,58,31 is 113274.

GCF of Denominators means GCF of 67,60,204 as per the given fractions.

GCF of 67,60,204 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,58,31

LCM of Fractions 63/67,58/60,31/204 is 113274

Given numbers has no common factors except 1. So, there LCM is their product i.e 113274

Least Common Multiple of 63,58,31 with GCF Formula

Least Common Multiple of 63,58,31 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 63,58,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,58,31) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(63,58,31) x common factors =1 x 1 = 1

LCM(63,58,31) = ( 63 × 58 × 31 ) / 1

LCM(63,58,31) = 113274 / 1

LCM(63,58,31) = 113274


Lets's calculate GCF of 67,60,204

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113274/1

Therefore the LCM of Fractions 63/67,58/60,31/204 is 113274

Greatest Common Factor of 67,60,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,60,204 By Matching Biggest Common Factor Method

Factors of 67

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

1,67

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 67,60,204 . The biggest common factor number is the GCF number.
So the greatest common factor 67,60,204 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 63/67, 58/60, 31/204

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 63/67, 58/60, 31/204?

Answer: LCM of Numerators as per given numbers 63/67, 58/60, 31/204 is

LCM of Numerators i.e. for 63,58,31 is 113274

GCF of denominators i.e. for 67,60,204 is 1.

Thus, LCM of Fractions is 113274.Finally, LCM of Fractions for 63/67, 58/60, 31/204 is 113274.