Least Common Multiple of 74/487, 940/811, 546/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/487, 940/811, 546/726 quickly i.e. 9494940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/487, 940/811, 546/726 is 9494940.

LCM(74/487, 940/811, 546/726) = 9494940

LCM of 74/487, 940/811, 546/726

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 74/487,940/811,546/726

Given numbers are 74/487,940/811,546/726

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 74,940,546

Least Common Multiple of Numerators i.e. LCM of 74,940,546 is 9494940.

GCF of Denominators means GCF of 487,811,726 as per the given fractions.

GCF of 487,811,726 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,940,546

LCM of Fractions 74/487,940/811,546/726 is 9494940

2 74, 940, 546
37, 470, 273

∴ So the LCM of the given numbers is 2 x 37 x 470 x 273 = 9494940

Least Common Multiple of 74,940,546 with GCF Formula

Least Common Multiple of 74,940,546 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 74,940,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,940,546) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(74,940,546) x common factors =2 x 2 = 4

LCM(74,940,546) = ( 74 × 940 × 546 ) / 4

LCM(74,940,546) = 37979760 / 4

LCM(74,940,546) = 9494940


Lets's calculate GCF of 487,811,726

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9494940/1

Therefore the LCM of Fractions 74/487,940/811,546/726 is 9494940

Greatest Common Factor of 487,811,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 487,811,726 By Matching Biggest Common Factor Method

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1,811

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 487,811,726 . The biggest common factor number is the GCF number.
So the greatest common factor 487,811,726 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 74/487, 940/811, 546/726

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 74/487, 940/811, 546/726?

Answer: LCM of Numerators as per given numbers 74/487, 940/811, 546/726 is

LCM of Numerators i.e. for 74,940,546 is 9494940

GCF of denominators i.e. for 487,811,726 is 1.

Thus, LCM of Fractions is 9494940.Finally, LCM of Fractions for 74/487, 940/811, 546/726 is 9494940.