Least Common Multiple of 357/20, 164/24, 632/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 357/20, 164/24, 632/580 quickly i.e. 2312646 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 357/20, 164/24, 632/580 is 2312646.

LCM(357/20, 164/24, 632/580) = 2312646

LCM of 357/20, 164/24, 632/580

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 357/20,164/24,632/580

Given numbers are 357/20,164/24,632/580

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 357,164,632

Least Common Multiple of Numerators i.e. LCM of 357,164,632 is 9250584.

GCF of Denominators means GCF of 20,24,580 as per the given fractions.

GCF of 20,24,580 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 357,164,632

LCM of Fractions 357/20,164/24,632/580 is 2312646

2 357, 164, 632
2 357, 82, 316
357, 41, 158

∴ So the LCM of the given numbers is 2 x 2 x 357 x 41 x 158 = 9250584

Least Common Multiple of 357,164,632 with GCF Formula

Least Common Multiple of 357,164,632 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 357,164,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(357,164,632) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(357,164,632) x common factors =1 x 4 = 4

LCM(357,164,632) = ( 357 × 164 × 632 ) / 4

LCM(357,164,632) = 37002336 / 4

LCM(357,164,632) = 9250584


Lets's calculate GCF of 20,24,580

2 20, 24, 580
2 10, 12, 290
5, 6, 145

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9250584/4

Therefore the LCM of Fractions 357/20,164/24,632/580 is 2312646

Greatest Common Factor of 20,24,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,24,580 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

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

Greatest Common Factor

We found the factors 20,24,580 . The biggest common factor number is the GCF number.
So the greatest common factor 20,24,580 is 4.


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 357/20, 164/24, 632/580

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 357/20, 164/24, 632/580?

Answer: LCM of Numerators as per given numbers 357/20, 164/24, 632/580 is

LCM of Numerators i.e. for 357,164,632 is 9250584

GCF of denominators i.e. for 20,24,580 is 4.

Thus, LCM of Fractions is 2312646.Finally, LCM of Fractions for 357/20, 164/24, 632/580 is 2312646.