Least Common Multiple of 43/302, 40/493, 643/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/302, 40/493, 643/950 quickly i.e. 1105960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/302, 40/493, 643/950 is 1105960.

LCM(43/302, 40/493, 643/950) = 1105960

LCM of 43/302, 40/493, 643/950

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 43/302,40/493,643/950

Given numbers are 43/302,40/493,643/950

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 43,40,643

Least Common Multiple of Numerators i.e. LCM of 43,40,643 is 1105960.

GCF of Denominators means GCF of 302,493,950 as per the given fractions.

GCF of 302,493,950 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,40,643

LCM of Fractions 43/302,40/493,643/950 is 1105960

Given numbers has no common factors except 1. So, there LCM is their product i.e 1105960

Least Common Multiple of 43,40,643 with GCF Formula

Least Common Multiple of 43,40,643 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 43,40,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,40,643) = 1

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

GCF(43,40,643) x common factors =1 x 1 = 1

LCM(43,40,643) = ( 43 × 40 × 643 ) / 1

LCM(43,40,643) = 1105960 / 1

LCM(43,40,643) = 1105960


Lets's calculate GCF of 302,493,950

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1105960/1

Therefore the LCM of Fractions 43/302,40/493,643/950 is 1105960

Greatest Common Factor of 302,493,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 302,493,950 By Matching Biggest Common Factor Method

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 302,493,950 . The biggest common factor number is the GCF number.
So the greatest common factor 302,493,950 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 43/302, 40/493, 643/950

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 43/302, 40/493, 643/950?

Answer: LCM of Numerators as per given numbers 43/302, 40/493, 643/950 is

LCM of Numerators i.e. for 43,40,643 is 1105960

GCF of denominators i.e. for 302,493,950 is 1.

Thus, LCM of Fractions is 1105960.Finally, LCM of Fractions for 43/302, 40/493, 643/950 is 1105960.