Least Common Multiple of 19/76, 66/278, 278/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/76, 66/278, 278/676 quickly i.e. 87153 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/76, 66/278, 278/676 is 87153.

LCM(19/76, 66/278, 278/676) = 87153

LCM of 19/76, 66/278, 278/676

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 19/76,66/278,278/676

Given numbers are 19/76,66/278,278/676

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 19,66,278

Least Common Multiple of Numerators i.e. LCM of 19,66,278 is 174306.

GCF of Denominators means GCF of 76,278,676 as per the given fractions.

GCF of 76,278,676 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,66,278

LCM of Fractions 19/76,66/278,278/676 is 87153

2 19, 66, 278
19, 33, 139

∴ So the LCM of the given numbers is 2 x 19 x 33 x 139 = 174306

Least Common Multiple of 19,66,278 with GCF Formula

Least Common Multiple of 19,66,278 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 19,66,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,66,278) = 1

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

GCF(19,66,278) x common factors =1 x 2 = 2

LCM(19,66,278) = ( 19 × 66 × 278 ) / 2

LCM(19,66,278) = 348612 / 2

LCM(19,66,278) = 174306


Lets's calculate GCF of 76,278,676

2 76, 278, 676
38, 139, 338

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 174306/2

Therefore the LCM of Fractions 19/76,66/278,278/676 is 87153

Greatest Common Factor of 76,278,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,278,676 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 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 76,278,676 . The biggest common factor number is the GCF number.
So the greatest common factor 76,278,676 is 2.


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 19/76, 66/278, 278/676

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 19/76, 66/278, 278/676?

Answer: LCM of Numerators as per given numbers 19/76, 66/278, 278/676 is

LCM of Numerators i.e. for 19,66,278 is 174306

GCF of denominators i.e. for 76,278,676 is 2.

Thus, LCM of Fractions is 87153.Finally, LCM of Fractions for 19/76, 66/278, 278/676 is 87153.