Least Common Multiple of 6430/608, 6993/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6430/608, 6993/624 quickly i.e. 44964990/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6430/608, 6993/624 is 44964990/16.

LCM(6430/608, 6993/624) = 44964990/16

LCM of 6430/608, 6993/624

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 6430/608,6993/624

Given numbers are 6430/608,6993/624

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 6430,6993

Least Common Multiple of Numerators i.e. LCM of 6430,6993 is 44964990.

GCF of Denominators means GCF of 608,624 as per the given fractions.

GCF of 608,624 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6430,6993

LCM of Fractions 6430/608,6993/624 is 44964990/16

Given numbers has no common factors except 1. So, there LCM is their product i.e 44964990

Least Common Multiple of 6430,6993 with GCF Formula

Least Common Multiple of 6430,6993 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 6430,6993 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6430,6993) = 1

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

GCF(6430,6993) x common factors =1 x 1 = 1

LCM(6430,6993) = ( 6430 × 6993 ) / 1

LCM(6430,6993) = 44964990 / 1

LCM(6430,6993) = 44964990


Lets's calculate GCF of 608,624

2 608, 624
2 304, 312
2 152, 156
2 76, 78
38, 39

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44964990/16

Therefore the LCM of Fractions 6430/608,6993/624 is 44964990/16

Greatest Common Factor of 608,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,624 By Matching Biggest Common Factor Method

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

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

Greatest Common Factor

We found the factors 608,624 . The biggest common factor number is the GCF number.
So the greatest common factor 608,624 is 16.


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 6430/608, 6993/624

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 6430/608, 6993/624?

Answer: LCM of Numerators as per given numbers 6430/608, 6993/624 is

LCM of Numerators i.e. for 6430,6993 is 44964990

GCF of denominators i.e. for 608,624 is 16.

Thus, LCM of Fractions is 44964990/16.Finally, LCM of Fractions for 6430/608, 6993/624 is 44964990/16.