Least Common Multiple of 357/14, 572/20, 584/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 357/14, 572/20, 584/766 quickly i.e. 14906892 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 357/14, 572/20, 584/766 is 14906892.

LCM(357/14, 572/20, 584/766) = 14906892

LCM of 357/14, 572/20, 584/766

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 357/14,572/20,584/766

Given numbers are 357/14,572/20,584/766

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 357,572,584

Least Common Multiple of Numerators i.e. LCM of 357,572,584 is 29813784.

GCF of Denominators means GCF of 14,20,766 as per the given fractions.

GCF of 14,20,766 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 357,572,584

LCM of Fractions 357/14,572/20,584/766 is 14906892

2 357, 572, 584
2 357, 286, 292
357, 143, 146

∴ So the LCM of the given numbers is 2 x 2 x 357 x 143 x 146 = 29813784

Least Common Multiple of 357,572,584 with GCF Formula

Least Common Multiple of 357,572,584 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 357,572,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(357,572,584) = 1

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

GCF(357,572,584) x common factors =1 x 4 = 4

LCM(357,572,584) = ( 357 × 572 × 584 ) / 4

LCM(357,572,584) = 119255136 / 4

LCM(357,572,584) = 29813784


Lets's calculate GCF of 14,20,766

2 14, 20, 766
7, 10, 383

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29813784/2

Therefore the LCM of Fractions 357/14,572/20,584/766 is 14906892

Greatest Common Factor of 14,20,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,20,766 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 20

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

1,2,4,5,10,20

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 14,20,766 . The biggest common factor number is the GCF number.
So the greatest common factor 14,20,766 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 357/14, 572/20, 584/766

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 357/14, 572/20, 584/766?

Answer: LCM of Numerators as per given numbers 357/14, 572/20, 584/766 is

LCM of Numerators i.e. for 357,572,584 is 29813784

GCF of denominators i.e. for 14,20,766 is 2.

Thus, LCM of Fractions is 14906892.Finally, LCM of Fractions for 357/14, 572/20, 584/766 is 14906892.