Least Common Multiple of 71/12, 66/61, 600/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/12, 66/61, 600/688 quickly i.e. 468600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/12, 66/61, 600/688 is 468600.

LCM(71/12, 66/61, 600/688) = 468600

LCM of 71/12, 66/61, 600/688

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 71/12,66/61,600/688

Given numbers are 71/12,66/61,600/688

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 71,66,600

Least Common Multiple of Numerators i.e. LCM of 71,66,600 is 468600.

GCF of Denominators means GCF of 12,61,688 as per the given fractions.

GCF of 12,61,688 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,66,600

LCM of Fractions 71/12,66/61,600/688 is 468600

2 71, 66, 600
3 71, 33, 300
71, 11, 100

∴ So the LCM of the given numbers is 2 x 3 x 71 x 11 x 100 = 468600

Least Common Multiple of 71,66,600 with GCF Formula

Least Common Multiple of 71,66,600 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 71,66,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,66,600) = 1

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

GCF(71,66,600) x common factors =1 x 6 = 6

LCM(71,66,600) = ( 71 × 66 × 600 ) / 6

LCM(71,66,600) = 2811600 / 6

LCM(71,66,600) = 468600


Lets's calculate GCF of 12,61,688

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 468600/1

Therefore the LCM of Fractions 71/12,66/61,600/688 is 468600

Greatest Common Factor of 12,61,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,61,688 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 12,61,688 . The biggest common factor number is the GCF number.
So the greatest common factor 12,61,688 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 71/12, 66/61, 600/688

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 71/12, 66/61, 600/688?

Answer: LCM of Numerators as per given numbers 71/12, 66/61, 600/688 is

LCM of Numerators i.e. for 71,66,600 is 468600

GCF of denominators i.e. for 12,61,688 is 1.

Thus, LCM of Fractions is 468600.Finally, LCM of Fractions for 71/12, 66/61, 600/688 is 468600.