Least Common Multiple of 40/655, 492/354, 464/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/655, 492/354, 464/684 quickly i.e. 285360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/655, 492/354, 464/684 is 285360.

LCM(40/655, 492/354, 464/684) = 285360

LCM of 40/655, 492/354, 464/684

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 40/655,492/354,464/684

Given numbers are 40/655,492/354,464/684

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 40,492,464

Least Common Multiple of Numerators i.e. LCM of 40,492,464 is 285360.

GCF of Denominators means GCF of 655,354,684 as per the given fractions.

GCF of 655,354,684 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,492,464

LCM of Fractions 40/655,492/354,464/684 is 285360

2 40, 492, 464
2 20, 246, 232
2 10, 123, 116
5, 123, 58

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 123 x 58 = 285360

Least Common Multiple of 40,492,464 with GCF Formula

Least Common Multiple of 40,492,464 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 40,492,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,492,464) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(40,492,464) x common factors =4 x 8 = 32

LCM(40,492,464) = ( 40 × 492 × 464 ) / 32

LCM(40,492,464) = 9131520 / 32

LCM(40,492,464) = 285360


Lets's calculate GCF of 655,354,684

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 285360/1

Therefore the LCM of Fractions 40/655,492/354,464/684 is 285360

Greatest Common Factor of 655,354,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 655,354,684 By Matching Biggest Common Factor Method

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 655,354,684 . The biggest common factor number is the GCF number.
So the greatest common factor 655,354,684 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 40/655, 492/354, 464/684

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 40/655, 492/354, 464/684?

Answer: LCM of Numerators as per given numbers 40/655, 492/354, 464/684 is

LCM of Numerators i.e. for 40,492,464 is 285360

GCF of denominators i.e. for 655,354,684 is 1.

Thus, LCM of Fractions is 285360.Finally, LCM of Fractions for 40/655, 492/354, 464/684 is 285360.