Least Common Multiple of 43/713, 460/914, 940/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/713, 460/914, 940/900 quickly i.e. 929660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/713, 460/914, 940/900 is 929660.

LCM(43/713, 460/914, 940/900) = 929660

LCM of 43/713, 460/914, 940/900

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 43/713,460/914,940/900

Given numbers are 43/713,460/914,940/900

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 43,460,940

Least Common Multiple of Numerators i.e. LCM of 43,460,940 is 929660.

GCF of Denominators means GCF of 713,914,900 as per the given fractions.

GCF of 713,914,900 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,460,940

LCM of Fractions 43/713,460/914,940/900 is 929660

2 43, 460, 940
2 43, 230, 470
5 43, 115, 235
43, 23, 47

∴ So the LCM of the given numbers is 2 x 2 x 5 x 43 x 23 x 47 = 929660

Least Common Multiple of 43,460,940 with GCF Formula

Least Common Multiple of 43,460,940 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 43,460,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,460,940) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(43,460,940) x common factors =1 x 20 = 20

LCM(43,460,940) = ( 43 × 460 × 940 ) / 20

LCM(43,460,940) = 18593200 / 20

LCM(43,460,940) = 929660


Lets's calculate GCF of 713,914,900

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 929660/1

Therefore the LCM of Fractions 43/713,460/914,940/900 is 929660

Greatest Common Factor of 713,914,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 713,914,900 By Matching Biggest Common Factor Method

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 713,914,900 . The biggest common factor number is the GCF number.
So the greatest common factor 713,914,900 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 43/713, 460/914, 940/900

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 43/713, 460/914, 940/900?

Answer: LCM of Numerators as per given numbers 43/713, 460/914, 940/900 is

LCM of Numerators i.e. for 43,460,940 is 929660

GCF of denominators i.e. for 713,914,900 is 1.

Thus, LCM of Fractions is 929660.Finally, LCM of Fractions for 43/713, 460/914, 940/900 is 929660.