Least Common Multiple of 480/60, 270/52, 295/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 480/60, 270/52, 295/584 quickly i.e. 63720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 480/60, 270/52, 295/584 is 63720.

LCM(480/60, 270/52, 295/584) = 63720

LCM of 480/60, 270/52, 295/584

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 480/60,270/52,295/584

Given numbers are 480/60,270/52,295/584

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 480,270,295

Least Common Multiple of Numerators i.e. LCM of 480,270,295 is 254880.

GCF of Denominators means GCF of 60,52,584 as per the given fractions.

GCF of 60,52,584 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 480,270,295

LCM of Fractions 480/60,270/52,295/584 is 63720

2 480, 270, 295
3 240, 135, 295
5 80, 45, 295
16, 9, 59

∴ So the LCM of the given numbers is 2 x 3 x 5 x 16 x 9 x 59 = 254880

Least Common Multiple of 480,270,295 with GCF Formula

Least Common Multiple of 480,270,295 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 480,270,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,270,295) = 5

common factors(in case of two or more numbers have common factors) = 30

GCF(480,270,295) x common factors =5 x 30 = 150

LCM(480,270,295) = ( 480 × 270 × 295 ) / 150

LCM(480,270,295) = 38232000 / 150

LCM(480,270,295) = 254880


Lets's calculate GCF of 60,52,584

2 60, 52, 584
2 30, 26, 292
15, 13, 146

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 254880/4

Therefore the LCM of Fractions 480/60,270/52,295/584 is 63720

Greatest Common Factor of 60,52,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,52,584 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors 60,52,584 . The biggest common factor number is the GCF number.
So the greatest common factor 60,52,584 is 4.


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 480/60, 270/52, 295/584

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 480/60, 270/52, 295/584?

Answer: LCM of Numerators as per given numbers 480/60, 270/52, 295/584 is

LCM of Numerators i.e. for 480,270,295 is 254880

GCF of denominators i.e. for 60,52,584 is 4.

Thus, LCM of Fractions is 63720.Finally, LCM of Fractions for 480/60, 270/52, 295/584 is 63720.