Least Common Multiple of 76/718, 444/496, 367/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/718, 444/496, 367/866 quickly i.e. 1548006 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/718, 444/496, 367/866 is 1548006.

LCM(76/718, 444/496, 367/866) = 1548006

LCM of 76/718, 444/496, 367/866

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 76/718,444/496,367/866

Given numbers are 76/718,444/496,367/866

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 76,444,367

Least Common Multiple of Numerators i.e. LCM of 76,444,367 is 3096012.

GCF of Denominators means GCF of 718,496,866 as per the given fractions.

GCF of 718,496,866 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,444,367

LCM of Fractions 76/718,444/496,367/866 is 1548006

2 76, 444, 367
2 38, 222, 367
19, 111, 367

∴ So the LCM of the given numbers is 2 x 2 x 19 x 111 x 367 = 3096012

Least Common Multiple of 76,444,367 with GCF Formula

Least Common Multiple of 76,444,367 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 76,444,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,444,367) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(76,444,367) x common factors =1 x 4 = 4

LCM(76,444,367) = ( 76 × 444 × 367 ) / 4

LCM(76,444,367) = 12384048 / 4

LCM(76,444,367) = 3096012


Lets's calculate GCF of 718,496,866

2 718, 496, 866
359, 248, 433

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3096012/2

Therefore the LCM of Fractions 76/718,444/496,367/866 is 1548006

Greatest Common Factor of 718,496,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 718,496,866 By Matching Biggest Common Factor Method

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 718,496,866 . The biggest common factor number is the GCF number.
So the greatest common factor 718,496,866 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 76/718, 444/496, 367/866

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 76/718, 444/496, 367/866?

Answer: LCM of Numerators as per given numbers 76/718, 444/496, 367/866 is

LCM of Numerators i.e. for 76,444,367 is 3096012

GCF of denominators i.e. for 718,496,866 is 2.

Thus, LCM of Fractions is 1548006.Finally, LCM of Fractions for 76/718, 444/496, 367/866 is 1548006.