Least Common Multiple of 45/580, 292/818, 146/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/580, 292/818, 146/612 quickly i.e. 6570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/580, 292/818, 146/612 is 6570.

LCM(45/580, 292/818, 146/612) = 6570

LCM of 45/580, 292/818, 146/612

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 45/580,292/818,146/612

Given numbers are 45/580,292/818,146/612

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 45,292,146

Least Common Multiple of Numerators i.e. LCM of 45,292,146 is 13140.

GCF of Denominators means GCF of 580,818,612 as per the given fractions.

GCF of 580,818,612 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,292,146

LCM of Fractions 45/580,292/818,146/612 is 6570

2 45, 292, 146
73 45, 146, 73
45, 2, 1

∴ So the LCM of the given numbers is 2 x 73 x 45 x 2 x 1 = 13140

Least Common Multiple of 45,292,146 with GCF Formula

Least Common Multiple of 45,292,146 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 45,292,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,292,146) = 1

common factors(in case of two or more numbers have common factors) = 146

GCF(45,292,146) x common factors =1 x 146 = 146

LCM(45,292,146) = ( 45 × 292 × 146 ) / 146

LCM(45,292,146) = 1918440 / 146

LCM(45,292,146) = 13140


Lets's calculate GCF of 580,818,612

2 580, 818, 612
290, 409, 306

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13140/2

Therefore the LCM of Fractions 45/580,292/818,146/612 is 6570

Greatest Common Factor of 580,818,612 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,818,612 By Matching Biggest Common Factor Method

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Greatest Common Factor

We found the factors 580,818,612 . The biggest common factor number is the GCF number.
So the greatest common factor 580,818,612 is 2.


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 45/580, 292/818, 146/612

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 45/580, 292/818, 146/612?

Answer: LCM of Numerators as per given numbers 45/580, 292/818, 146/612 is

LCM of Numerators i.e. for 45,292,146 is 13140

GCF of denominators i.e. for 580,818,612 is 2.

Thus, LCM of Fractions is 6570.Finally, LCM of Fractions for 45/580, 292/818, 146/612 is 6570.