Least Common Multiple of 66/624, 14/801, 740/183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/624, 14/801, 740/183 quickly i.e. 56980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/624, 14/801, 740/183 is 56980.

LCM(66/624, 14/801, 740/183) = 56980

LCM of 66/624, 14/801, 740/183

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 66/624,14/801,740/183

Given numbers are 66/624,14/801,740/183

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 66,14,740

Least Common Multiple of Numerators i.e. LCM of 66,14,740 is 170940.

GCF of Denominators means GCF of 624,801,183 as per the given fractions.

GCF of 624,801,183 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,14,740

LCM of Fractions 66/624,14/801,740/183 is 56980

2 66, 14, 740
33, 7, 370

∴ So the LCM of the given numbers is 2 x 33 x 7 x 370 = 170940

Least Common Multiple of 66,14,740 with GCF Formula

Least Common Multiple of 66,14,740 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 66,14,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,14,740) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(66,14,740) x common factors =2 x 2 = 4

LCM(66,14,740) = ( 66 × 14 × 740 ) / 4

LCM(66,14,740) = 683760 / 4

LCM(66,14,740) = 170940


Lets's calculate GCF of 624,801,183

3 624, 801, 183
208, 267, 61

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 170940/3

Therefore the LCM of Fractions 66/624,14/801,740/183 is 56980

Greatest Common Factor of 624,801,183 By Matching Biggest Common Factor Method

Greatest Common Factor of 624,801,183 By Matching Biggest Common Factor Method

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Greatest Common Factor

We found the factors 624,801,183 . The biggest common factor number is the GCF number.
So the greatest common factor 624,801,183 is 3.


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 66/624, 14/801, 740/183

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 66/624, 14/801, 740/183?

Answer: LCM of Numerators as per given numbers 66/624, 14/801, 740/183 is

LCM of Numerators i.e. for 66,14,740 is 170940

GCF of denominators i.e. for 624,801,183 is 3.

Thus, LCM of Fractions is 56980.Finally, LCM of Fractions for 66/624, 14/801, 740/183 is 56980.