Least Common Multiple of 67/13, 15/99, 71/94, 79/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 67/13, 15/99, 71/94, 79/824 quickly i.e. 5637045 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/13, 15/99, 71/94, 79/824 is 5637045.

LCM(67/13, 15/99, 71/94, 79/824) = 5637045

LCM of 67/13, 15/99, 71/94, 79/824

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 67/13,15/99,71/94,79/824

Given numbers are 67/13,15/99,71/94,79/824

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 67,15,71,79

Least Common Multiple of Numerators i.e. LCM of 67,15,71,79 is 5637045.

GCF of Denominators means GCF of 13,99,94,824 as per the given fractions.

GCF of 13,99,94,824 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,15,71,79

LCM of Fractions 67/13,15/99,71/94,79/824 is 5637045

Given numbers has no common factors except 1. So, there LCM is their product i.e 5637045

Least Common Multiple of 67,15,71,79 with GCF Formula

Least Common Multiple of 67,15,71,79 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 67,15,71,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,15,71,79) = 1

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

GCF(67,15,71,79) x common factors =1 x 1 = 1

LCM(67,15,71,79) = ( 67 × 15 × 71 × 79 ) / 1

LCM(67,15,71,79) = 5637045 / 1

LCM(67,15,71,79) = 5637045


Lets's calculate GCF of 13,99,94,824

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5637045/1

Therefore the LCM of Fractions 67/13,15/99,71/94,79/824 is 5637045

Greatest Common Factor of 13,99,94,824 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,99,94,824 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Greatest Common Factor

We found the factors 13,99,94,824 . The biggest common factor number is the GCF number.
So the greatest common factor 13,99,94,824 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 67/13, 15/99, 71/94, 79/824

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 67/13, 15/99, 71/94, 79/824?

Answer: LCM of Numerators as per given numbers 67/13, 15/99, 71/94, 79/824 is

LCM of Numerators i.e. for 67,15,71,79 is 5637045

GCF of denominators i.e. for 13,99,94,824 is 1.

Thus, LCM of Fractions is 5637045.Finally, LCM of Fractions for 67/13, 15/99, 71/94, 79/824 is 5637045.