Least Common Multiple of 7800/561, 6870/6185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7800/561, 6870/6185 quickly i.e. 1786200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7800/561, 6870/6185 is 1786200.

LCM(7800/561, 6870/6185) = 1786200

LCM of 7800/561, 6870/6185

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 7800/561,6870/6185

Given numbers are 7800/561,6870/6185

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 7800,6870

Least Common Multiple of Numerators i.e. LCM of 7800,6870 is 1786200.

GCF of Denominators means GCF of 561,6185 as per the given fractions.

GCF of 561,6185 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7800,6870

LCM of Fractions 7800/561,6870/6185 is 1786200

2 7800, 6870
3 3900, 3435
5 1300, 1145
260, 229

∴ So the LCM of the given numbers is 2 x 3 x 5 x 260 x 229 = 1786200

Least Common Multiple of 7800,6870 with GCF Formula

Least Common Multiple of 7800,6870 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 7800,6870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7800,6870) = 30

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

GCF(7800,6870) x common factors =30 x 1 = 30

LCM(7800,6870) = ( 7800 × 6870 ) / 30

LCM(7800,6870) = 53586000 / 30

LCM(7800,6870) = 1786200


Lets's calculate GCF of 561,6185

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1786200/1

Therefore the LCM of Fractions 7800/561,6870/6185 is 1786200

Greatest Common Factor of 561,6185 By Matching Biggest Common Factor Method

Greatest Common Factor of 561,6185 By Matching Biggest Common Factor Method

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Factors of 6185

List of positive integer factors of 6185 that divides 6185 without a remainder.

1,5,1237,6185

Greatest Common Factor

We found the factors 561,6185 . The biggest common factor number is the GCF number.
So the greatest common factor 561,6185 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 7800/561, 6870/6185

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 7800/561, 6870/6185?

Answer: LCM of Numerators as per given numbers 7800/561, 6870/6185 is

LCM of Numerators i.e. for 7800,6870 is 1786200

GCF of denominators i.e. for 561,6185 is 1.

Thus, LCM of Fractions is 1786200.Finally, LCM of Fractions for 7800/561, 6870/6185 is 1786200.