Least Common Multiple of 58/718, 421/966, 747/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/718, 421/966, 747/816 quickly i.e. 9120123 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/718, 421/966, 747/816 is 9120123.

LCM(58/718, 421/966, 747/816) = 9120123

LCM of 58/718, 421/966, 747/816

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 58/718,421/966,747/816

Given numbers are 58/718,421/966,747/816

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 58,421,747

Least Common Multiple of Numerators i.e. LCM of 58,421,747 is 18240246.

GCF of Denominators means GCF of 718,966,816 as per the given fractions.

GCF of 718,966,816 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,421,747

LCM of Fractions 58/718,421/966,747/816 is 9120123

Given numbers has no common factors except 1. So, there LCM is their product i.e 18240246

Least Common Multiple of 58,421,747 with GCF Formula

Least Common Multiple of 58,421,747 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 58,421,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,421,747) = 1

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

GCF(58,421,747) x common factors =1 x 1 = 1

LCM(58,421,747) = ( 58 × 421 × 747 ) / 1

LCM(58,421,747) = 18240246 / 1

LCM(58,421,747) = 18240246


Lets's calculate GCF of 718,966,816

2 718, 966, 816
359, 483, 408

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18240246/2

Therefore the LCM of Fractions 58/718,421/966,747/816 is 9120123

Greatest Common Factor of 718,966,816 By Matching Biggest Common Factor Method

Greatest Common Factor of 718,966,816 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 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Greatest Common Factor

We found the factors 718,966,816 . The biggest common factor number is the GCF number.
So the greatest common factor 718,966,816 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 58/718, 421/966, 747/816

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 58/718, 421/966, 747/816?

Answer: LCM of Numerators as per given numbers 58/718, 421/966, 747/816 is

LCM of Numerators i.e. for 58,421,747 is 18240246

GCF of denominators i.e. for 718,966,816 is 2.

Thus, LCM of Fractions is 9120123.Finally, LCM of Fractions for 58/718, 421/966, 747/816 is 9120123.