Least Common Multiple of 6718/836, 9070/2850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6718/836, 9070/2850 quickly i.e. 30466130/38 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6718/836, 9070/2850 is 30466130/38.

LCM(6718/836, 9070/2850) = 30466130/38

LCM of 6718/836, 9070/2850

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 6718/836,9070/2850

Given numbers are 6718/836,9070/2850

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 6718,9070

Least Common Multiple of Numerators i.e. LCM of 6718,9070 is 30466130.

GCF of Denominators means GCF of 836,2850 as per the given fractions.

GCF of 836,2850 is 38 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6718,9070

LCM of Fractions 6718/836,9070/2850 is 30466130/38

2 6718, 9070
3359, 4535

∴ So the LCM of the given numbers is 2 x 3359 x 4535 = 30466130

Least Common Multiple of 6718,9070 with GCF Formula

Least Common Multiple of 6718,9070 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 6718,9070 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6718,9070) = 2

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

GCF(6718,9070) x common factors =2 x 1 = 2

LCM(6718,9070) = ( 6718 × 9070 ) / 2

LCM(6718,9070) = 60932260 / 2

LCM(6718,9070) = 30466130


Lets's calculate GCF of 836,2850

2 836, 2850
19 418, 1425
22, 75

∴ So the GCF of the given numbers is 2 x 19 = 38

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30466130/38

Therefore the LCM of Fractions 6718/836,9070/2850 is 30466130/38

Greatest Common Factor of 836,2850 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,2850 By Matching Biggest Common Factor Method

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 2850

List of positive integer factors of 2850 that divides 2850 without a remainder.

1,2,3,5,6,10,15,19,25,30,38,50,57,75,95,114,150,190,285,475,570,950,1425,2850

Greatest Common Factor

We found the factors 836,2850 . The biggest common factor number is the GCF number.
So the greatest common factor 836,2850 is 38.


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 6718/836, 9070/2850

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 6718/836, 9070/2850?

Answer: LCM of Numerators as per given numbers 6718/836, 9070/2850 is

LCM of Numerators i.e. for 6718,9070 is 30466130

GCF of denominators i.e. for 836,2850 is 38.

Thus, LCM of Fractions is 30466130/38.Finally, LCM of Fractions for 6718/836, 9070/2850 is 30466130/38.