Least Common Multiple of 83/900, 6152/7869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/900, 6152/7869 quickly i.e. 510616/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/900, 6152/7869 is 510616/3.

LCM(83/900, 6152/7869) = 510616/3

LCM of 83/900, 6152/7869

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 83/900,6152/7869

Given numbers are 83/900,6152/7869

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 83,6152

Least Common Multiple of Numerators i.e. LCM of 83,6152 is 510616.

GCF of Denominators means GCF of 900,7869 as per the given fractions.

GCF of 900,7869 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,6152

LCM of Fractions 83/900,6152/7869 is 510616/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 510616

Least Common Multiple of 83,6152 with GCF Formula

Least Common Multiple of 83,6152 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 83,6152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,6152) = 1

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

GCF(83,6152) x common factors =1 x 1 = 1

LCM(83,6152) = ( 83 × 6152 ) / 1

LCM(83,6152) = 510616 / 1

LCM(83,6152) = 510616


Lets's calculate GCF of 900,7869

3 900, 7869
300, 2623

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 510616/3

Therefore the LCM of Fractions 83/900,6152/7869 is 510616/3

Greatest Common Factor of 900,7869 By Matching Biggest Common Factor Method

Greatest Common Factor of 900,7869 By Matching Biggest Common Factor Method

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 7869

List of positive integer factors of 7869 that divides 7869 without a remainder.

1,3,43,61,129,183,2623,7869

Greatest Common Factor

We found the factors 900,7869 . The biggest common factor number is the GCF number.
So the greatest common factor 900,7869 is 3.


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 83/900, 6152/7869

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 83/900, 6152/7869?

Answer: LCM of Numerators as per given numbers 83/900, 6152/7869 is

LCM of Numerators i.e. for 83,6152 is 510616

GCF of denominators i.e. for 900,7869 is 3.

Thus, LCM of Fractions is 510616/3.Finally, LCM of Fractions for 83/900, 6152/7869 is 510616/3.