Least Common Multiple of 6878/65, 5825/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6878/65, 5825/710 quickly i.e. 8012870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6878/65, 5825/710 is 8012870.

LCM(6878/65, 5825/710) = 8012870

LCM of 6878/65, 5825/710

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 6878/65,5825/710

Given numbers are 6878/65,5825/710

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 6878,5825

Least Common Multiple of Numerators i.e. LCM of 6878,5825 is 40064350.

GCF of Denominators means GCF of 65,710 as per the given fractions.

GCF of 65,710 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6878,5825

LCM of Fractions 6878/65,5825/710 is 8012870

Given numbers has no common factors except 1. So, there LCM is their product i.e 40064350

Least Common Multiple of 6878,5825 with GCF Formula

Least Common Multiple of 6878,5825 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 6878,5825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6878,5825) = 1

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

GCF(6878,5825) x common factors =1 x 1 = 1

LCM(6878,5825) = ( 6878 × 5825 ) / 1

LCM(6878,5825) = 40064350 / 1

LCM(6878,5825) = 40064350


Lets's calculate GCF of 65,710

5 65, 710
13, 142

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40064350/5

Therefore the LCM of Fractions 6878/65,5825/710 is 8012870

Greatest Common Factor of 65,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,710 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors 65,710 . The biggest common factor number is the GCF number.
So the greatest common factor 65,710 is 5.


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 6878/65, 5825/710

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 6878/65, 5825/710?

Answer: LCM of Numerators as per given numbers 6878/65, 5825/710 is

LCM of Numerators i.e. for 6878,5825 is 40064350

GCF of denominators i.e. for 65,710 is 5.

Thus, LCM of Fractions is 8012870.Finally, LCM of Fractions for 6878/65, 5825/710 is 8012870.