Least Common Multiple of 828/91, 6075/852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 828/91, 6075/852 quickly i.e. 558900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 828/91, 6075/852 is 558900.

LCM(828/91, 6075/852) = 558900

LCM of 828/91, 6075/852

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 828/91,6075/852

Given numbers are 828/91,6075/852

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 828,6075

Least Common Multiple of Numerators i.e. LCM of 828,6075 is 558900.

GCF of Denominators means GCF of 91,852 as per the given fractions.

GCF of 91,852 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 828,6075

LCM of Fractions 828/91,6075/852 is 558900

3 828, 6075
3 276, 2025
92, 675

∴ So the LCM of the given numbers is 3 x 3 x 92 x 675 = 558900

Least Common Multiple of 828,6075 with GCF Formula

Least Common Multiple of 828,6075 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 828,6075 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,6075) = 9

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

GCF(828,6075) x common factors =9 x 1 = 9

LCM(828,6075) = ( 828 × 6075 ) / 9

LCM(828,6075) = 5030100 / 9

LCM(828,6075) = 558900


Lets's calculate GCF of 91,852

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 558900/1

Therefore the LCM of Fractions 828/91,6075/852 is 558900

Greatest Common Factor of 91,852 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,852 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Greatest Common Factor

We found the factors 91,852 . The biggest common factor number is the GCF number.
So the greatest common factor 91,852 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 828/91, 6075/852

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 828/91, 6075/852?

Answer: LCM of Numerators as per given numbers 828/91, 6075/852 is

LCM of Numerators i.e. for 828,6075 is 558900

GCF of denominators i.e. for 91,852 is 1.

Thus, LCM of Fractions is 558900.Finally, LCM of Fractions for 828/91, 6075/852 is 558900.