Least Common Multiple of 17/63, 76/128, 628/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/63, 76/128, 628/136 quickly i.e. 202844 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/63, 76/128, 628/136 is 202844.

LCM(17/63, 76/128, 628/136) = 202844

LCM of 17/63, 76/128, 628/136

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 17/63,76/128,628/136

Given numbers are 17/63,76/128,628/136

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 17,76,628

Least Common Multiple of Numerators i.e. LCM of 17,76,628 is 202844.

GCF of Denominators means GCF of 63,128,136 as per the given fractions.

GCF of 63,128,136 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,76,628

LCM of Fractions 17/63,76/128,628/136 is 202844

2 17, 76, 628
2 17, 38, 314
17, 19, 157

∴ So the LCM of the given numbers is 2 x 2 x 17 x 19 x 157 = 202844

Least Common Multiple of 17,76,628 with GCF Formula

Least Common Multiple of 17,76,628 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 17,76,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,76,628) = 1

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

GCF(17,76,628) x common factors =1 x 4 = 4

LCM(17,76,628) = ( 17 × 76 × 628 ) / 4

LCM(17,76,628) = 811376 / 4

LCM(17,76,628) = 202844


Lets's calculate GCF of 63,128,136

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 202844/1

Therefore the LCM of Fractions 17/63,76/128,628/136 is 202844

Greatest Common Factor of 63,128,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,128,136 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Greatest Common Factor

We found the factors 63,128,136 . The biggest common factor number is the GCF number.
So the greatest common factor 63,128,136 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 17/63, 76/128, 628/136

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 17/63, 76/128, 628/136?

Answer: LCM of Numerators as per given numbers 17/63, 76/128, 628/136 is

LCM of Numerators i.e. for 17,76,628 is 202844

GCF of denominators i.e. for 63,128,136 is 1.

Thus, LCM of Fractions is 202844.Finally, LCM of Fractions for 17/63, 76/128, 628/136 is 202844.