Least Common Multiple of 357/13, 355/24, 786/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 357/13, 355/24, 786/563 quickly i.e. 33204570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 357/13, 355/24, 786/563 is 33204570.

LCM(357/13, 355/24, 786/563) = 33204570

LCM of 357/13, 355/24, 786/563

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 357/13,355/24,786/563

Given numbers are 357/13,355/24,786/563

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 357,355,786

Least Common Multiple of Numerators i.e. LCM of 357,355,786 is 33204570.

GCF of Denominators means GCF of 13,24,563 as per the given fractions.

GCF of 13,24,563 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 357,355,786

LCM of Fractions 357/13,355/24,786/563 is 33204570

3 357, 355, 786
119, 355, 262

∴ So the LCM of the given numbers is 3 x 119 x 355 x 262 = 33204570

Least Common Multiple of 357,355,786 with GCF Formula

Least Common Multiple of 357,355,786 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 357,355,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(357,355,786) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(357,355,786) x common factors =1 x 3 = 3

LCM(357,355,786) = ( 357 × 355 × 786 ) / 3

LCM(357,355,786) = 99613710 / 3

LCM(357,355,786) = 33204570


Lets's calculate GCF of 13,24,563

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33204570/1

Therefore the LCM of Fractions 357/13,355/24,786/563 is 33204570

Greatest Common Factor of 13,24,563 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,24,563 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

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 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Greatest Common Factor

We found the factors 13,24,563 . The biggest common factor number is the GCF number.
So the greatest common factor 13,24,563 is 1.


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 357/13, 355/24, 786/563

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 357/13, 355/24, 786/563?

Answer: LCM of Numerators as per given numbers 357/13, 355/24, 786/563 is

LCM of Numerators i.e. for 357,355,786 is 33204570

GCF of denominators i.e. for 13,24,563 is 1.

Thus, LCM of Fractions is 33204570.Finally, LCM of Fractions for 357/13, 355/24, 786/563 is 33204570.