Least Common Multiple of 16/718, 990/124, 749/251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/718, 990/124, 749/251 quickly i.e. 5932080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/718, 990/124, 749/251 is 5932080.

LCM(16/718, 990/124, 749/251) = 5932080

LCM of 16/718, 990/124, 749/251

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 16/718,990/124,749/251

Given numbers are 16/718,990/124,749/251

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 16,990,749

Least Common Multiple of Numerators i.e. LCM of 16,990,749 is 5932080.

GCF of Denominators means GCF of 718,124,251 as per the given fractions.

GCF of 718,124,251 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,990,749

LCM of Fractions 16/718,990/124,749/251 is 5932080

2 16, 990, 749
8, 495, 749

∴ So the LCM of the given numbers is 2 x 8 x 495 x 749 = 5932080

Least Common Multiple of 16,990,749 with GCF Formula

Least Common Multiple of 16,990,749 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 16,990,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,990,749) = 1

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

GCF(16,990,749) x common factors =1 x 2 = 2

LCM(16,990,749) = ( 16 × 990 × 749 ) / 2

LCM(16,990,749) = 11864160 / 2

LCM(16,990,749) = 5932080


Lets's calculate GCF of 718,124,251

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5932080/1

Therefore the LCM of Fractions 16/718,990/124,749/251 is 5932080

Greatest Common Factor of 718,124,251 By Matching Biggest Common Factor Method

Greatest Common Factor of 718,124,251 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 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Greatest Common Factor

We found the factors 718,124,251 . The biggest common factor number is the GCF number.
So the greatest common factor 718,124,251 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 16/718, 990/124, 749/251

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 16/718, 990/124, 749/251?

Answer: LCM of Numerators as per given numbers 16/718, 990/124, 749/251 is

LCM of Numerators i.e. for 16,990,749 is 5932080

GCF of denominators i.e. for 718,124,251 is 1.

Thus, LCM of Fractions is 5932080.Finally, LCM of Fractions for 16/718, 990/124, 749/251 is 5932080.