Least Common Multiple of 664/38, 646/62, 775/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 664/38, 646/62, 775/916 quickly i.e. 83107900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 664/38, 646/62, 775/916 is 83107900.

LCM(664/38, 646/62, 775/916) = 83107900

LCM of 664/38, 646/62, 775/916

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 664/38,646/62,775/916

Given numbers are 664/38,646/62,775/916

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 664,646,775

Least Common Multiple of Numerators i.e. LCM of 664,646,775 is 166215800.

GCF of Denominators means GCF of 38,62,916 as per the given fractions.

GCF of 38,62,916 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 664,646,775

LCM of Fractions 664/38,646/62,775/916 is 83107900

2 664, 646, 775
332, 323, 775

∴ So the LCM of the given numbers is 2 x 332 x 323 x 775 = 166215800

Least Common Multiple of 664,646,775 with GCF Formula

Least Common Multiple of 664,646,775 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 664,646,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,646,775) = 1

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

GCF(664,646,775) x common factors =1 x 2 = 2

LCM(664,646,775) = ( 664 × 646 × 775 ) / 2

LCM(664,646,775) = 332431600 / 2

LCM(664,646,775) = 166215800


Lets's calculate GCF of 38,62,916

2 38, 62, 916
19, 31, 458

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166215800/2

Therefore the LCM of Fractions 664/38,646/62,775/916 is 83107900

Greatest Common Factor of 38,62,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,62,916 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 38,62,916 . The biggest common factor number is the GCF number.
So the greatest common factor 38,62,916 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 664/38, 646/62, 775/916

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 664/38, 646/62, 775/916?

Answer: LCM of Numerators as per given numbers 664/38, 646/62, 775/916 is

LCM of Numerators i.e. for 664,646,775 is 166215800

GCF of denominators i.e. for 38,62,916 is 2.

Thus, LCM of Fractions is 83107900.Finally, LCM of Fractions for 664/38, 646/62, 775/916 is 83107900.