Least Common Multiple of 44/428, 15/972, 580/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/428, 15/972, 580/390 quickly i.e. 9570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/428, 15/972, 580/390 is 9570.

LCM(44/428, 15/972, 580/390) = 9570

LCM of 44/428, 15/972, 580/390

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 44/428,15/972,580/390

Given numbers are 44/428,15/972,580/390

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 44,15,580

Least Common Multiple of Numerators i.e. LCM of 44,15,580 is 19140.

GCF of Denominators means GCF of 428,972,390 as per the given fractions.

GCF of 428,972,390 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,15,580

LCM of Fractions 44/428,15/972,580/390 is 9570

2 44, 15, 580
2 22, 15, 290
5 11, 15, 145
11, 3, 29

∴ So the LCM of the given numbers is 2 x 2 x 5 x 11 x 3 x 29 = 19140

Least Common Multiple of 44,15,580 with GCF Formula

Least Common Multiple of 44,15,580 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 44,15,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,15,580) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(44,15,580) x common factors =1 x 20 = 20

LCM(44,15,580) = ( 44 × 15 × 580 ) / 20

LCM(44,15,580) = 382800 / 20

LCM(44,15,580) = 19140


Lets's calculate GCF of 428,972,390

2 428, 972, 390
214, 486, 195

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19140/2

Therefore the LCM of Fractions 44/428,15/972,580/390 is 9570

Greatest Common Factor of 428,972,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,972,390 By Matching Biggest Common Factor Method

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 428,972,390 . The biggest common factor number is the GCF number.
So the greatest common factor 428,972,390 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 44/428, 15/972, 580/390

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 44/428, 15/972, 580/390?

Answer: LCM of Numerators as per given numbers 44/428, 15/972, 580/390 is

LCM of Numerators i.e. for 44,15,580 is 19140

GCF of denominators i.e. for 428,972,390 is 2.

Thus, LCM of Fractions is 9570.Finally, LCM of Fractions for 44/428, 15/972, 580/390 is 9570.