Least Common Multiple of 361/66, 580/7632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 361/66, 580/7632 quickly i.e. 209380/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 361/66, 580/7632 is 209380/6.

LCM(361/66, 580/7632) = 209380/6

LCM of 361/66, 580/7632

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 361/66,580/7632

Given numbers are 361/66,580/7632

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 361,580

Least Common Multiple of Numerators i.e. LCM of 361,580 is 209380.

GCF of Denominators means GCF of 66,7632 as per the given fractions.

GCF of 66,7632 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 361,580

LCM of Fractions 361/66,580/7632 is 209380/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 209380

Least Common Multiple of 361,580 with GCF Formula

Least Common Multiple of 361,580 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 361,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(361,580) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(361,580) x common factors =1 x 1 = 1

LCM(361,580) = ( 361 × 580 ) / 1

LCM(361,580) = 209380 / 1

LCM(361,580) = 209380


Lets's calculate GCF of 66,7632

2 66, 7632
3 33, 3816
11, 1272

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 209380/6

Therefore the LCM of Fractions 361/66,580/7632 is 209380/6

Greatest Common Factor of 66,7632 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,7632 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 7632

List of positive integer factors of 7632 that divides 7632 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,53,72,106,144,159,212,318,424,477,636,848,954,1272,1908,2544,3816,7632

Greatest Common Factor

We found the factors 66,7632 . The biggest common factor number is the GCF number.
So the greatest common factor 66,7632 is 6.


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 361/66, 580/7632

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 361/66, 580/7632?

Answer: LCM of Numerators as per given numbers 361/66, 580/7632 is

LCM of Numerators i.e. for 361,580 is 209380

GCF of denominators i.e. for 66,7632 is 6.

Thus, LCM of Fractions is 209380/6.Finally, LCM of Fractions for 361/66, 580/7632 is 209380/6.