Least Common Multiple of 993/64, 631/26, 993/876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 993/64, 631/26, 993/876 quickly i.e. 626583/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 993/64, 631/26, 993/876 is 626583/2.

LCM(993/64, 631/26, 993/876) = 626583/2

LCM of 993/64, 631/26, 993/876

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 993/64,631/26,993/876

Given numbers are 993/64,631/26,993/876

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 993,631,993

Least Common Multiple of Numerators i.e. LCM of 993,631,993 is 626583.

GCF of Denominators means GCF of 64,26,876 as per the given fractions.

GCF of 64,26,876 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 993,631,993

LCM of Fractions 993/64,631/26,993/876 is 626583/2

3 993, 631, 993
331 331, 631, 331
1, 631, 1

∴ So the LCM of the given numbers is 3 x 331 x 1 x 631 x 1 = 626583

Least Common Multiple of 993,631,993 with GCF Formula

Least Common Multiple of 993,631,993 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 993,631,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(993,631,993) = 1

common factors(in case of two or more numbers have common factors) = 993

GCF(993,631,993) x common factors =1 x 993 = 993

LCM(993,631,993) = ( 993 × 631 × 993 ) / 993

LCM(993,631,993) = 622196919 / 993

LCM(993,631,993) = 626583


Lets's calculate GCF of 64,26,876

2 64, 26, 876
32, 13, 438

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 626583/2

Therefore the LCM of Fractions 993/64,631/26,993/876 is 626583/2

Greatest Common Factor of 64,26,876 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,26,876 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Greatest Common Factor

We found the factors 64,26,876 . The biggest common factor number is the GCF number.
So the greatest common factor 64,26,876 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 993/64, 631/26, 993/876

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 993/64, 631/26, 993/876?

Answer: LCM of Numerators as per given numbers 993/64, 631/26, 993/876 is

LCM of Numerators i.e. for 993,631,993 is 626583

GCF of denominators i.e. for 64,26,876 is 2.

Thus, LCM of Fractions is 626583/2.Finally, LCM of Fractions for 993/64, 631/26, 993/876 is 626583/2.