Least Common Multiple of 17/204, 35/938, 750/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/204, 35/938, 750/143 quickly i.e. 89250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/204, 35/938, 750/143 is 89250.

LCM(17/204, 35/938, 750/143) = 89250

LCM of 17/204, 35/938, 750/143

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 17/204,35/938,750/143

Given numbers are 17/204,35/938,750/143

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 17,35,750

Least Common Multiple of Numerators i.e. LCM of 17,35,750 is 89250.

GCF of Denominators means GCF of 204,938,143 as per the given fractions.

GCF of 204,938,143 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,35,750

LCM of Fractions 17/204,35/938,750/143 is 89250

5 17, 35, 750
17, 7, 150

∴ So the LCM of the given numbers is 5 x 17 x 7 x 150 = 89250

Least Common Multiple of 17,35,750 with GCF Formula

Least Common Multiple of 17,35,750 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 17,35,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,35,750) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(17,35,750) x common factors =1 x 5 = 5

LCM(17,35,750) = ( 17 × 35 × 750 ) / 5

LCM(17,35,750) = 446250 / 5

LCM(17,35,750) = 89250


Lets's calculate GCF of 204,938,143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89250/1

Therefore the LCM of Fractions 17/204,35/938,750/143 is 89250

Greatest Common Factor of 204,938,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,938,143 By Matching Biggest Common Factor Method

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

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 204,938,143 . The biggest common factor number is the GCF number.
So the greatest common factor 204,938,143 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 17/204, 35/938, 750/143

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 17/204, 35/938, 750/143?

Answer: LCM of Numerators as per given numbers 17/204, 35/938, 750/143 is

LCM of Numerators i.e. for 17,35,750 is 89250

GCF of denominators i.e. for 204,938,143 is 1.

Thus, LCM of Fractions is 89250.Finally, LCM of Fractions for 17/204, 35/938, 750/143 is 89250.