Least Common Multiple of 716/506, 8675/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 716/506, 8675/880 quickly i.e. 6211300/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 716/506, 8675/880 is 6211300/22.

LCM(716/506, 8675/880) = 6211300/22

LCM of 716/506, 8675/880

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 716/506,8675/880

Given numbers are 716/506,8675/880

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 716,8675

Least Common Multiple of Numerators i.e. LCM of 716,8675 is 6211300.

GCF of Denominators means GCF of 506,880 as per the given fractions.

GCF of 506,880 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 716,8675

LCM of Fractions 716/506,8675/880 is 6211300/22

Given numbers has no common factors except 1. So, there LCM is their product i.e 6211300

Least Common Multiple of 716,8675 with GCF Formula

Least Common Multiple of 716,8675 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 716,8675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(716,8675) = 1

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

GCF(716,8675) x common factors =1 x 1 = 1

LCM(716,8675) = ( 716 × 8675 ) / 1

LCM(716,8675) = 6211300 / 1

LCM(716,8675) = 6211300


Lets's calculate GCF of 506,880

2 506, 880
11 253, 440
23, 40

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6211300/22

Therefore the LCM of Fractions 716/506,8675/880 is 6211300/22

Greatest Common Factor of 506,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,880 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 506,880 . The biggest common factor number is the GCF number.
So the greatest common factor 506,880 is 22.


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 716/506, 8675/880

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 716/506, 8675/880?

Answer: LCM of Numerators as per given numbers 716/506, 8675/880 is

LCM of Numerators i.e. for 716,8675 is 6211300

GCF of denominators i.e. for 506,880 is 22.

Thus, LCM of Fractions is 6211300/22.Finally, LCM of Fractions for 716/506, 8675/880 is 6211300/22.