Least Common Multiple of 767/255, 217/235, 792/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 767/255, 217/235, 792/178 quickly i.e. 131819688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 767/255, 217/235, 792/178 is 131819688.

LCM(767/255, 217/235, 792/178) = 131819688

LCM of 767/255, 217/235, 792/178

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 767/255,217/235,792/178

Given numbers are 767/255,217/235,792/178

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 767,217,792

Least Common Multiple of Numerators i.e. LCM of 767,217,792 is 131819688.

GCF of Denominators means GCF of 255,235,178 as per the given fractions.

GCF of 255,235,178 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 767,217,792

LCM of Fractions 767/255,217/235,792/178 is 131819688

Given numbers has no common factors except 1. So, there LCM is their product i.e 131819688

Least Common Multiple of 767,217,792 with GCF Formula

Least Common Multiple of 767,217,792 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 767,217,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(767,217,792) = 1

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

GCF(767,217,792) x common factors =1 x 1 = 1

LCM(767,217,792) = ( 767 × 217 × 792 ) / 1

LCM(767,217,792) = 131819688 / 1

LCM(767,217,792) = 131819688


Lets's calculate GCF of 255,235,178

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131819688/1

Therefore the LCM of Fractions 767/255,217/235,792/178 is 131819688

Greatest Common Factor of 255,235,178 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,235,178 By Matching Biggest Common Factor Method

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Greatest Common Factor

We found the factors 255,235,178 . The biggest common factor number is the GCF number.
So the greatest common factor 255,235,178 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 767/255, 217/235, 792/178

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 767/255, 217/235, 792/178?

Answer: LCM of Numerators as per given numbers 767/255, 217/235, 792/178 is

LCM of Numerators i.e. for 767,217,792 is 131819688

GCF of denominators i.e. for 255,235,178 is 1.

Thus, LCM of Fractions is 131819688.Finally, LCM of Fractions for 767/255, 217/235, 792/178 is 131819688.