Least Common Multiple of 331/612, 626/616, 649/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 331/612, 626/616, 649/672 quickly i.e. 134476694/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 331/612, 626/616, 649/672 is 134476694/4.

LCM(331/612, 626/616, 649/672) = 134476694/4

LCM of 331/612, 626/616, 649/672

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 331/612,626/616,649/672

Given numbers are 331/612,626/616,649/672

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 331,626,649

Least Common Multiple of Numerators i.e. LCM of 331,626,649 is 134476694.

GCF of Denominators means GCF of 612,616,672 as per the given fractions.

GCF of 612,616,672 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 331,626,649

LCM of Fractions 331/612,626/616,649/672 is 134476694/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 134476694

Least Common Multiple of 331,626,649 with GCF Formula

Least Common Multiple of 331,626,649 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 331,626,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(331,626,649) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(331,626,649) x common factors =1 x 1 = 1

LCM(331,626,649) = ( 331 × 626 × 649 ) / 1

LCM(331,626,649) = 134476694 / 1

LCM(331,626,649) = 134476694


Lets's calculate GCF of 612,616,672

2 612, 616, 672
2 306, 308, 336
153, 154, 168

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134476694/4

Therefore the LCM of Fractions 331/612,626/616,649/672 is 134476694/4

Greatest Common Factor of 612,616,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,616,672 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 612,616,672 . The biggest common factor number is the GCF number.
So the greatest common factor 612,616,672 is 4.


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 331/612, 626/616, 649/672

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 331/612, 626/616, 649/672?

Answer: LCM of Numerators as per given numbers 331/612, 626/616, 649/672 is

LCM of Numerators i.e. for 331,626,649 is 134476694

GCF of denominators i.e. for 612,616,672 is 4.

Thus, LCM of Fractions is 134476694/4.Finally, LCM of Fractions for 331/612, 626/616, 649/672 is 134476694/4.