Least Common Multiple of 545/846, 580/783, 891/369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 545/846, 580/783, 891/369 quickly i.e. 6258780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 545/846, 580/783, 891/369 is 6258780.

LCM(545/846, 580/783, 891/369) = 6258780

LCM of 545/846, 580/783, 891/369

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 545/846,580/783,891/369

Given numbers are 545/846,580/783,891/369

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 545,580,891

Least Common Multiple of Numerators i.e. LCM of 545,580,891 is 56329020.

GCF of Denominators means GCF of 846,783,369 as per the given fractions.

GCF of 846,783,369 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 545,580,891

LCM of Fractions 545/846,580/783,891/369 is 6258780

5 545, 580, 891
109, 116, 891

∴ So the LCM of the given numbers is 5 x 109 x 116 x 891 = 56329020

Least Common Multiple of 545,580,891 with GCF Formula

Least Common Multiple of 545,580,891 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 545,580,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(545,580,891) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(545,580,891) x common factors =1 x 5 = 5

LCM(545,580,891) = ( 545 × 580 × 891 ) / 5

LCM(545,580,891) = 281645100 / 5

LCM(545,580,891) = 56329020


Lets's calculate GCF of 846,783,369

3 846, 783, 369
3 282, 261, 123
94, 87, 41

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56329020/9

Therefore the LCM of Fractions 545/846,580/783,891/369 is 6258780

Greatest Common Factor of 846,783,369 By Matching Biggest Common Factor Method

Greatest Common Factor of 846,783,369 By Matching Biggest Common Factor Method

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Greatest Common Factor

We found the factors 846,783,369 . The biggest common factor number is the GCF number.
So the greatest common factor 846,783,369 is 9.


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 545/846, 580/783, 891/369

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 545/846, 580/783, 891/369?

Answer: LCM of Numerators as per given numbers 545/846, 580/783, 891/369 is

LCM of Numerators i.e. for 545,580,891 is 56329020

GCF of denominators i.e. for 846,783,369 is 9.

Thus, LCM of Fractions is 6258780.Finally, LCM of Fractions for 545/846, 580/783, 891/369 is 6258780.