Least Common Multiple of 61/75, 39/314, 366/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/75, 39/314, 366/470 quickly i.e. 4758 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/75, 39/314, 366/470 is 4758.

LCM(61/75, 39/314, 366/470) = 4758

LCM of 61/75, 39/314, 366/470

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 61/75,39/314,366/470

Given numbers are 61/75,39/314,366/470

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 61,39,366

Least Common Multiple of Numerators i.e. LCM of 61,39,366 is 4758.

GCF of Denominators means GCF of 75,314,470 as per the given fractions.

GCF of 75,314,470 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,39,366

LCM of Fractions 61/75,39/314,366/470 is 4758

3 61, 39, 366
61 61, 13, 122
1, 13, 2

∴ So the LCM of the given numbers is 3 x 61 x 1 x 13 x 2 = 4758

Least Common Multiple of 61,39,366 with GCF Formula

Least Common Multiple of 61,39,366 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 61,39,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,39,366) = 1

common factors(in case of two or more numbers have common factors) = 183

GCF(61,39,366) x common factors =1 x 183 = 183

LCM(61,39,366) = ( 61 × 39 × 366 ) / 183

LCM(61,39,366) = 870714 / 183

LCM(61,39,366) = 4758


Lets's calculate GCF of 75,314,470

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4758/1

Therefore the LCM of Fractions 61/75,39/314,366/470 is 4758

Greatest Common Factor of 75,314,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,314,470 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 75,314,470 . The biggest common factor number is the GCF number.
So the greatest common factor 75,314,470 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 61/75, 39/314, 366/470

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 61/75, 39/314, 366/470?

Answer: LCM of Numerators as per given numbers 61/75, 39/314, 366/470 is

LCM of Numerators i.e. for 61,39,366 is 4758

GCF of denominators i.e. for 75,314,470 is 1.

Thus, LCM of Fractions is 4758.Finally, LCM of Fractions for 61/75, 39/314, 366/470 is 4758.