Least Common Multiple of 60/580, 38/232, 651/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/580, 38/232, 651/264 quickly i.e. 61845 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/580, 38/232, 651/264 is 61845.

LCM(60/580, 38/232, 651/264) = 61845

LCM of 60/580, 38/232, 651/264

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 60/580,38/232,651/264

Given numbers are 60/580,38/232,651/264

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 60,38,651

Least Common Multiple of Numerators i.e. LCM of 60,38,651 is 247380.

GCF of Denominators means GCF of 580,232,264 as per the given fractions.

GCF of 580,232,264 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,38,651

LCM of Fractions 60/580,38/232,651/264 is 61845

2 60, 38, 651
3 30, 19, 651
10, 19, 217

∴ So the LCM of the given numbers is 2 x 3 x 10 x 19 x 217 = 247380

Least Common Multiple of 60,38,651 with GCF Formula

Least Common Multiple of 60,38,651 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 60,38,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,38,651) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(60,38,651) x common factors =1 x 6 = 6

LCM(60,38,651) = ( 60 × 38 × 651 ) / 6

LCM(60,38,651) = 1484280 / 6

LCM(60,38,651) = 247380


Lets's calculate GCF of 580,232,264

2 580, 232, 264
2 290, 116, 132
145, 58, 66

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 247380/4

Therefore the LCM of Fractions 60/580,38/232,651/264 is 61845

Greatest Common Factor of 580,232,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,232,264 By Matching Biggest Common Factor Method

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 580,232,264 . The biggest common factor number is the GCF number.
So the greatest common factor 580,232,264 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 60/580, 38/232, 651/264

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 60/580, 38/232, 651/264?

Answer: LCM of Numerators as per given numbers 60/580, 38/232, 651/264 is

LCM of Numerators i.e. for 60,38,651 is 247380

GCF of denominators i.e. for 580,232,264 is 4.

Thus, LCM of Fractions is 61845.Finally, LCM of Fractions for 60/580, 38/232, 651/264 is 61845.