Least Common Multiple of 375/76, 869/18, 718/181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 375/76, 869/18, 718/181 quickly i.e. 233978250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 375/76, 869/18, 718/181 is 233978250.

LCM(375/76, 869/18, 718/181) = 233978250

LCM of 375/76, 869/18, 718/181

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 375/76,869/18,718/181

Given numbers are 375/76,869/18,718/181

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 375,869,718

Least Common Multiple of Numerators i.e. LCM of 375,869,718 is 233978250.

GCF of Denominators means GCF of 76,18,181 as per the given fractions.

GCF of 76,18,181 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 375,869,718

LCM of Fractions 375/76,869/18,718/181 is 233978250

Given numbers has no common factors except 1. So, there LCM is their product i.e 233978250

Least Common Multiple of 375,869,718 with GCF Formula

Least Common Multiple of 375,869,718 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 375,869,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(375,869,718) = 1

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

GCF(375,869,718) x common factors =1 x 1 = 1

LCM(375,869,718) = ( 375 × 869 × 718 ) / 1

LCM(375,869,718) = 233978250 / 1

LCM(375,869,718) = 233978250


Lets's calculate GCF of 76,18,181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 233978250/1

Therefore the LCM of Fractions 375/76,869/18,718/181 is 233978250

Greatest Common Factor of 76,18,181 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,18,181 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 181

List of positive integer factors of 181 that divides 181 without a remainder.

1,181

Greatest Common Factor

We found the factors 76,18,181 . The biggest common factor number is the GCF number.
So the greatest common factor 76,18,181 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 375/76, 869/18, 718/181

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 375/76, 869/18, 718/181?

Answer: LCM of Numerators as per given numbers 375/76, 869/18, 718/181 is

LCM of Numerators i.e. for 375,869,718 is 233978250

GCF of denominators i.e. for 76,18,181 is 1.

Thus, LCM of Fractions is 233978250.Finally, LCM of Fractions for 375/76, 869/18, 718/181 is 233978250.