Least Common Multiple of 43/206, 945/558, 323/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/206, 945/558, 323/840 quickly i.e. 13125105/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/206, 945/558, 323/840 is 13125105/2.

LCM(43/206, 945/558, 323/840) = 13125105/2

LCM of 43/206, 945/558, 323/840

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 43/206,945/558,323/840

Given numbers are 43/206,945/558,323/840

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 43,945,323

Least Common Multiple of Numerators i.e. LCM of 43,945,323 is 13125105.

GCF of Denominators means GCF of 206,558,840 as per the given fractions.

GCF of 206,558,840 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,945,323

LCM of Fractions 43/206,945/558,323/840 is 13125105/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 13125105

Least Common Multiple of 43,945,323 with GCF Formula

Least Common Multiple of 43,945,323 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 43,945,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,945,323) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(43,945,323) x common factors =1 x 1 = 1

LCM(43,945,323) = ( 43 × 945 × 323 ) / 1

LCM(43,945,323) = 13125105 / 1

LCM(43,945,323) = 13125105


Lets's calculate GCF of 206,558,840

2 206, 558, 840
103, 279, 420

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13125105/2

Therefore the LCM of Fractions 43/206,945/558,323/840 is 13125105/2

Greatest Common Factor of 206,558,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,558,840 By Matching Biggest Common Factor Method

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 206,558,840 . The biggest common factor number is the GCF number.
So the greatest common factor 206,558,840 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 43/206, 945/558, 323/840

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 43/206, 945/558, 323/840?

Answer: LCM of Numerators as per given numbers 43/206, 945/558, 323/840 is

LCM of Numerators i.e. for 43,945,323 is 13125105

GCF of denominators i.e. for 206,558,840 is 2.

Thus, LCM of Fractions is 13125105/2.Finally, LCM of Fractions for 43/206, 945/558, 323/840 is 13125105/2.