Least Common Multiple of 60/334, 13/596, 666/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/334, 13/596, 666/914 quickly i.e. 43290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/334, 13/596, 666/914 is 43290.

LCM(60/334, 13/596, 666/914) = 43290

LCM of 60/334, 13/596, 666/914

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 60/334,13/596,666/914

Given numbers are 60/334,13/596,666/914

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 60,13,666

Least Common Multiple of Numerators i.e. LCM of 60,13,666 is 86580.

GCF of Denominators means GCF of 334,596,914 as per the given fractions.

GCF of 334,596,914 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,13,666

LCM of Fractions 60/334,13/596,666/914 is 43290

2 60, 13, 666
3 30, 13, 333
10, 13, 111

∴ So the LCM of the given numbers is 2 x 3 x 10 x 13 x 111 = 86580

Least Common Multiple of 60,13,666 with GCF Formula

Least Common Multiple of 60,13,666 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 60,13,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,13,666) = 1

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

GCF(60,13,666) x common factors =1 x 6 = 6

LCM(60,13,666) = ( 60 × 13 × 666 ) / 6

LCM(60,13,666) = 519480 / 6

LCM(60,13,666) = 86580


Lets's calculate GCF of 334,596,914

2 334, 596, 914
167, 298, 457

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86580/2

Therefore the LCM of Fractions 60/334,13/596,666/914 is 43290

Greatest Common Factor of 334,596,914 By Matching Biggest Common Factor Method

Greatest Common Factor of 334,596,914 By Matching Biggest Common Factor Method

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Greatest Common Factor

We found the factors 334,596,914 . The biggest common factor number is the GCF number.
So the greatest common factor 334,596,914 is 2.


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 60/334, 13/596, 666/914

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 60/334, 13/596, 666/914?

Answer: LCM of Numerators as per given numbers 60/334, 13/596, 666/914 is

LCM of Numerators i.e. for 60,13,666 is 86580

GCF of denominators i.e. for 334,596,914 is 2.

Thus, LCM of Fractions is 43290.Finally, LCM of Fractions for 60/334, 13/596, 666/914 is 43290.