Least Common Multiple of 31/994, 633/529, 625/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 31/994, 633/529, 625/148 quickly i.e. 12264375 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/994, 633/529, 625/148 is 12264375.

LCM(31/994, 633/529, 625/148) = 12264375

LCM of 31/994, 633/529, 625/148

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 31/994,633/529,625/148

Given numbers are 31/994,633/529,625/148

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 31,633,625

Least Common Multiple of Numerators i.e. LCM of 31,633,625 is 12264375.

GCF of Denominators means GCF of 994,529,148 as per the given fractions.

GCF of 994,529,148 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,633,625

LCM of Fractions 31/994,633/529,625/148 is 12264375

Given numbers has no common factors except 1. So, there LCM is their product i.e 12264375

Least Common Multiple of 31,633,625 with GCF Formula

Least Common Multiple of 31,633,625 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 31,633,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,633,625) = 1

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

GCF(31,633,625) x common factors =1 x 1 = 1

LCM(31,633,625) = ( 31 × 633 × 625 ) / 1

LCM(31,633,625) = 12264375 / 1

LCM(31,633,625) = 12264375


Lets's calculate GCF of 994,529,148

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12264375/1

Therefore the LCM of Fractions 31/994,633/529,625/148 is 12264375

Greatest Common Factor of 994,529,148 By Matching Biggest Common Factor Method

Greatest Common Factor of 994,529,148 By Matching Biggest Common Factor Method

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Greatest Common Factor

We found the factors 994,529,148 . The biggest common factor number is the GCF number.
So the greatest common factor 994,529,148 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 31/994, 633/529, 625/148

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 31/994, 633/529, 625/148?

Answer: LCM of Numerators as per given numbers 31/994, 633/529, 625/148 is

LCM of Numerators i.e. for 31,633,625 is 12264375

GCF of denominators i.e. for 994,529,148 is 1.

Thus, LCM of Fractions is 12264375.Finally, LCM of Fractions for 31/994, 633/529, 625/148 is 12264375.