Least Common Multiple of 437/81, 497/40, 460/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 437/81, 497/40, 460/920 quickly i.e. 4343780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 437/81, 497/40, 460/920 is 4343780.

LCM(437/81, 497/40, 460/920) = 4343780

LCM of 437/81, 497/40, 460/920

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 437/81,497/40,460/920

Given numbers are 437/81,497/40,460/920

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 437,497,460

Least Common Multiple of Numerators i.e. LCM of 437,497,460 is 4343780.

GCF of Denominators means GCF of 81,40,920 as per the given fractions.

GCF of 81,40,920 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 437,497,460

LCM of Fractions 437/81,497/40,460/920 is 4343780

23 437, 497, 460
19, 497, 20

∴ So the LCM of the given numbers is 23 x 19 x 497 x 20 = 4343780

Least Common Multiple of 437,497,460 with GCF Formula

Least Common Multiple of 437,497,460 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 437,497,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(437,497,460) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(437,497,460) x common factors =1 x 23 = 23

LCM(437,497,460) = ( 437 × 497 × 460 ) / 23

LCM(437,497,460) = 99906940 / 23

LCM(437,497,460) = 4343780


Lets's calculate GCF of 81,40,920

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4343780/1

Therefore the LCM of Fractions 437/81,497/40,460/920 is 4343780

Greatest Common Factor of 81,40,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,40,920 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 81,40,920 . The biggest common factor number is the GCF number.
So the greatest common factor 81,40,920 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 437/81, 497/40, 460/920

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 437/81, 497/40, 460/920?

Answer: LCM of Numerators as per given numbers 437/81, 497/40, 460/920 is

LCM of Numerators i.e. for 437,497,460 is 4343780

GCF of denominators i.e. for 81,40,920 is 1.

Thus, LCM of Fractions is 4343780.Finally, LCM of Fractions for 437/81, 497/40, 460/920 is 4343780.