Least Common Multiple of 60/65, 29/620, 414/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/65, 29/620, 414/366 quickly i.e. 120060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/65, 29/620, 414/366 is 120060.

LCM(60/65, 29/620, 414/366) = 120060

LCM of 60/65, 29/620, 414/366

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 60/65,29/620,414/366

Given numbers are 60/65,29/620,414/366

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 60,29,414

Least Common Multiple of Numerators i.e. LCM of 60,29,414 is 120060.

GCF of Denominators means GCF of 65,620,366 as per the given fractions.

GCF of 65,620,366 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,29,414

LCM of Fractions 60/65,29/620,414/366 is 120060

2 60, 29, 414
3 30, 29, 207
10, 29, 69

∴ So the LCM of the given numbers is 2 x 3 x 10 x 29 x 69 = 120060

Least Common Multiple of 60,29,414 with GCF Formula

Least Common Multiple of 60,29,414 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 60,29,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,29,414) = 1

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

GCF(60,29,414) x common factors =1 x 6 = 6

LCM(60,29,414) = ( 60 × 29 × 414 ) / 6

LCM(60,29,414) = 720360 / 6

LCM(60,29,414) = 120060


Lets's calculate GCF of 65,620,366

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120060/1

Therefore the LCM of Fractions 60/65,29/620,414/366 is 120060

Greatest Common Factor of 65,620,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,620,366 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 65,620,366 . The biggest common factor number is the GCF number.
So the greatest common factor 65,620,366 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 60/65, 29/620, 414/366

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 60/65, 29/620, 414/366?

Answer: LCM of Numerators as per given numbers 60/65, 29/620, 414/366 is

LCM of Numerators i.e. for 60,29,414 is 120060

GCF of denominators i.e. for 65,620,366 is 1.

Thus, LCM of Fractions is 120060.Finally, LCM of Fractions for 60/65, 29/620, 414/366 is 120060.