Least Common Multiple of 640/42, 452/39, 364/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 640/42, 452/39, 364/480 quickly i.e. 6581120/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 640/42, 452/39, 364/480 is 6581120/3.

LCM(640/42, 452/39, 364/480) = 6581120/3

LCM of 640/42, 452/39, 364/480

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 640/42,452/39,364/480

Given numbers are 640/42,452/39,364/480

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 640,452,364

Least Common Multiple of Numerators i.e. LCM of 640,452,364 is 6581120.

GCF of Denominators means GCF of 42,39,480 as per the given fractions.

GCF of 42,39,480 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 640,452,364

LCM of Fractions 640/42,452/39,364/480 is 6581120/3

2 640, 452, 364
2 320, 226, 182
160, 113, 91

∴ So the LCM of the given numbers is 2 x 2 x 160 x 113 x 91 = 6581120

Least Common Multiple of 640,452,364 with GCF Formula

Least Common Multiple of 640,452,364 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 640,452,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(640,452,364) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(640,452,364) x common factors =4 x 4 = 16

LCM(640,452,364) = ( 640 × 452 × 364 ) / 16

LCM(640,452,364) = 105297920 / 16

LCM(640,452,364) = 6581120


Lets's calculate GCF of 42,39,480

3 42, 39, 480
14, 13, 160

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6581120/3

Therefore the LCM of Fractions 640/42,452/39,364/480 is 6581120/3

Greatest Common Factor of 42,39,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,39,480 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 42,39,480 . The biggest common factor number is the GCF number.
So the greatest common factor 42,39,480 is 3.


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 640/42, 452/39, 364/480

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 640/42, 452/39, 364/480?

Answer: LCM of Numerators as per given numbers 640/42, 452/39, 364/480 is

LCM of Numerators i.e. for 640,452,364 is 6581120

GCF of denominators i.e. for 42,39,480 is 3.

Thus, LCM of Fractions is 6581120/3.Finally, LCM of Fractions for 640/42, 452/39, 364/480 is 6581120/3.