Least Common Multiple of 171/750, 4518/117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 171/750, 4518/117 quickly i.e. 28614 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 171/750, 4518/117 is 28614.

LCM(171/750, 4518/117) = 28614

LCM of 171/750, 4518/117

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 171/750,4518/117

Given numbers are 171/750,4518/117

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 171,4518

Least Common Multiple of Numerators i.e. LCM of 171,4518 is 85842.

GCF of Denominators means GCF of 750,117 as per the given fractions.

GCF of 750,117 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 171,4518

LCM of Fractions 171/750,4518/117 is 28614

3 171, 4518
3 57, 1506
19, 502

∴ So the LCM of the given numbers is 3 x 3 x 19 x 502 = 85842

Least Common Multiple of 171,4518 with GCF Formula

Least Common Multiple of 171,4518 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 171,4518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,4518) = 9

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

GCF(171,4518) x common factors =9 x 1 = 9

LCM(171,4518) = ( 171 × 4518 ) / 9

LCM(171,4518) = 772578 / 9

LCM(171,4518) = 85842


Lets's calculate GCF of 750,117

3 750, 117
250, 39

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85842/3

Therefore the LCM of Fractions 171/750,4518/117 is 28614

Greatest Common Factor of 750,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 750,117 By Matching Biggest Common Factor Method

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 750,117 . The biggest common factor number is the GCF number.
So the greatest common factor 750,117 is 3.


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 171/750, 4518/117

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 171/750, 4518/117?

Answer: LCM of Numerators as per given numbers 171/750, 4518/117 is

LCM of Numerators i.e. for 171,4518 is 85842

GCF of denominators i.e. for 750,117 is 3.

Thus, LCM of Fractions is 28614.Finally, LCM of Fractions for 171/750, 4518/117 is 28614.