Least Common Multiple of 99/52, 99/89, 614/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 99/52, 99/89, 614/196 quickly i.e. 60786 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/52, 99/89, 614/196 is 60786.

LCM(99/52, 99/89, 614/196) = 60786

LCM of 99/52, 99/89, 614/196

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 99/52,99/89,614/196

Given numbers are 99/52,99/89,614/196

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 99,99,614

Least Common Multiple of Numerators i.e. LCM of 99,99,614 is 60786.

GCF of Denominators means GCF of 52,89,196 as per the given fractions.

GCF of 52,89,196 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,99,614

LCM of Fractions 99/52,99/89,614/196 is 60786

3 99, 99, 614
3 33, 33, 614
11 11, 11, 614
1, 1, 614

∴ So the LCM of the given numbers is 3 x 3 x 11 x 1 x 1 x 614 = 60786

Least Common Multiple of 99,99,614 with GCF Formula

Least Common Multiple of 99,99,614 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 99,99,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,99,614) = 1

common factors(in case of two or more numbers have common factors) = 99

GCF(99,99,614) x common factors =1 x 99 = 99

LCM(99,99,614) = ( 99 × 99 × 614 ) / 99

LCM(99,99,614) = 6017814 / 99

LCM(99,99,614) = 60786


Lets's calculate GCF of 52,89,196

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60786/1

Therefore the LCM of Fractions 99/52,99/89,614/196 is 60786

Greatest Common Factor of 52,89,196 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,89,196 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Greatest Common Factor

We found the factors 52,89,196 . The biggest common factor number is the GCF number.
So the greatest common factor 52,89,196 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 99/52, 99/89, 614/196

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 99/52, 99/89, 614/196?

Answer: LCM of Numerators as per given numbers 99/52, 99/89, 614/196 is

LCM of Numerators i.e. for 99,99,614 is 60786

GCF of denominators i.e. for 52,89,196 is 1.

Thus, LCM of Fractions is 60786.Finally, LCM of Fractions for 99/52, 99/89, 614/196 is 60786.