Least Common Multiple of 668/20, 300/83, 696/545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 668/20, 300/83, 696/545 quickly i.e. 2905800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 668/20, 300/83, 696/545 is 2905800.

LCM(668/20, 300/83, 696/545) = 2905800

LCM of 668/20, 300/83, 696/545

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 668/20,300/83,696/545

Given numbers are 668/20,300/83,696/545

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 668,300,696

Least Common Multiple of Numerators i.e. LCM of 668,300,696 is 2905800.

GCF of Denominators means GCF of 20,83,545 as per the given fractions.

GCF of 20,83,545 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 668,300,696

LCM of Fractions 668/20,300/83,696/545 is 2905800

2 668, 300, 696
2 334, 150, 348
3 167, 75, 174
167, 25, 58

∴ So the LCM of the given numbers is 2 x 2 x 3 x 167 x 25 x 58 = 2905800

Least Common Multiple of 668,300,696 with GCF Formula

Least Common Multiple of 668,300,696 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 668,300,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,300,696) = 4

common factors(in case of two or more numbers have common factors) = 12

GCF(668,300,696) x common factors =4 x 12 = 48

LCM(668,300,696) = ( 668 × 300 × 696 ) / 48

LCM(668,300,696) = 139478400 / 48

LCM(668,300,696) = 2905800


Lets's calculate GCF of 20,83,545

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2905800/1

Therefore the LCM of Fractions 668/20,300/83,696/545 is 2905800

Greatest Common Factor of 20,83,545 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,83,545 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 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Greatest Common Factor

We found the factors 20,83,545 . The biggest common factor number is the GCF number.
So the greatest common factor 20,83,545 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 668/20, 300/83, 696/545

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 668/20, 300/83, 696/545?

Answer: LCM of Numerators as per given numbers 668/20, 300/83, 696/545 is

LCM of Numerators i.e. for 668,300,696 is 2905800

GCF of denominators i.e. for 20,83,545 is 1.

Thus, LCM of Fractions is 2905800.Finally, LCM of Fractions for 668/20, 300/83, 696/545 is 2905800.