Least Common Multiple of 828/46, 756/61, 369/881

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 828/46, 756/61, 369/881 quickly i.e. 712908 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 828/46, 756/61, 369/881 is 712908.

LCM(828/46, 756/61, 369/881) = 712908

LCM of 828/46, 756/61, 369/881

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 828/46,756/61,369/881

Given numbers are 828/46,756/61,369/881

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 828,756,369

Least Common Multiple of Numerators i.e. LCM of 828,756,369 is 712908.

GCF of Denominators means GCF of 46,61,881 as per the given fractions.

GCF of 46,61,881 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 828,756,369

LCM of Fractions 828/46,756/61,369/881 is 712908

2 828, 756, 369
2 414, 378, 369
3 207, 189, 369
3 69, 63, 123
23, 21, 41

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 23 x 21 x 41 = 712908

Least Common Multiple of 828,756,369 with GCF Formula

Least Common Multiple of 828,756,369 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 828,756,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,756,369) = 9

common factors(in case of two or more numbers have common factors) = 36

GCF(828,756,369) x common factors =9 x 36 = 324

LCM(828,756,369) = ( 828 × 756 × 369 ) / 324

LCM(828,756,369) = 230982192 / 324

LCM(828,756,369) = 712908


Lets's calculate GCF of 46,61,881

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 712908/1

Therefore the LCM of Fractions 828/46,756/61,369/881 is 712908

Greatest Common Factor of 46,61,881 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,61,881 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 881

List of positive integer factors of 881 that divides 881 without a remainder.

1,881

Greatest Common Factor

We found the factors 46,61,881 . The biggest common factor number is the GCF number.
So the greatest common factor 46,61,881 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 828/46, 756/61, 369/881

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 828/46, 756/61, 369/881?

Answer: LCM of Numerators as per given numbers 828/46, 756/61, 369/881 is

LCM of Numerators i.e. for 828,756,369 is 712908

GCF of denominators i.e. for 46,61,881 is 1.

Thus, LCM of Fractions is 712908.Finally, LCM of Fractions for 828/46, 756/61, 369/881 is 712908.