Least Common Multiple of 76/608, 555/176, 278/277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/608, 555/176, 278/277 quickly i.e. 5863020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/608, 555/176, 278/277 is 5863020.

LCM(76/608, 555/176, 278/277) = 5863020

LCM of 76/608, 555/176, 278/277

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 76/608,555/176,278/277

Given numbers are 76/608,555/176,278/277

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 76,555,278

Least Common Multiple of Numerators i.e. LCM of 76,555,278 is 5863020.

GCF of Denominators means GCF of 608,176,277 as per the given fractions.

GCF of 608,176,277 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,555,278

LCM of Fractions 76/608,555/176,278/277 is 5863020

2 76, 555, 278
38, 555, 139

∴ So the LCM of the given numbers is 2 x 38 x 555 x 139 = 5863020

Least Common Multiple of 76,555,278 with GCF Formula

Least Common Multiple of 76,555,278 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 76,555,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,555,278) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(76,555,278) x common factors =1 x 2 = 2

LCM(76,555,278) = ( 76 × 555 × 278 ) / 2

LCM(76,555,278) = 11726040 / 2

LCM(76,555,278) = 5863020


Lets's calculate GCF of 608,176,277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5863020/1

Therefore the LCM of Fractions 76/608,555/176,278/277 is 5863020

Greatest Common Factor of 608,176,277 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,176,277 By Matching Biggest Common Factor Method

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Greatest Common Factor

We found the factors 608,176,277 . The biggest common factor number is the GCF number.
So the greatest common factor 608,176,277 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 76/608, 555/176, 278/277

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 76/608, 555/176, 278/277?

Answer: LCM of Numerators as per given numbers 76/608, 555/176, 278/277 is

LCM of Numerators i.e. for 76,555,278 is 5863020

GCF of denominators i.e. for 608,176,277 is 1.

Thus, LCM of Fractions is 5863020.Finally, LCM of Fractions for 76/608, 555/176, 278/277 is 5863020.