Least Common Multiple of 99/114, 339/749, 314/623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/114, 339/749, 314/623 quickly i.e. 3512718 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/114, 339/749, 314/623 is 3512718.

LCM(99/114, 339/749, 314/623) = 3512718

LCM of 99/114, 339/749, 314/623

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 99/114,339/749,314/623

Given numbers are 99/114,339/749,314/623

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 99,339,314

Least Common Multiple of Numerators i.e. LCM of 99,339,314 is 3512718.

GCF of Denominators means GCF of 114,749,623 as per the given fractions.

GCF of 114,749,623 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,339,314

LCM of Fractions 99/114,339/749,314/623 is 3512718

3 99, 339, 314
33, 113, 314

∴ So the LCM of the given numbers is 3 x 33 x 113 x 314 = 3512718

Least Common Multiple of 99,339,314 with GCF Formula

Least Common Multiple of 99,339,314 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 99,339,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,339,314) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(99,339,314) x common factors =1 x 3 = 3

LCM(99,339,314) = ( 99 × 339 × 314 ) / 3

LCM(99,339,314) = 10538154 / 3

LCM(99,339,314) = 3512718


Lets's calculate GCF of 114,749,623

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3512718/1

Therefore the LCM of Fractions 99/114,339/749,314/623 is 3512718

Greatest Common Factor of 114,749,623 By Matching Biggest Common Factor Method

Greatest Common Factor of 114,749,623 By Matching Biggest Common Factor Method

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Greatest Common Factor

We found the factors 114,749,623 . The biggest common factor number is the GCF number.
So the greatest common factor 114,749,623 is 1.


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 99/114, 339/749, 314/623

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 99/114, 339/749, 314/623?

Answer: LCM of Numerators as per given numbers 99/114, 339/749, 314/623 is

LCM of Numerators i.e. for 99,339,314 is 3512718

GCF of denominators i.e. for 114,749,623 is 1.

Thus, LCM of Fractions is 3512718.Finally, LCM of Fractions for 99/114, 339/749, 314/623 is 3512718.