Least Common Multiple of 4690/152, 9966/567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4690/152, 9966/567 quickly i.e. 23370270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4690/152, 9966/567 is 23370270.

LCM(4690/152, 9966/567) = 23370270

LCM of 4690/152, 9966/567

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 4690/152,9966/567

Given numbers are 4690/152,9966/567

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 4690,9966

Least Common Multiple of Numerators i.e. LCM of 4690,9966 is 23370270.

GCF of Denominators means GCF of 152,567 as per the given fractions.

GCF of 152,567 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4690,9966

LCM of Fractions 4690/152,9966/567 is 23370270

2 4690, 9966
2345, 4983

∴ So the LCM of the given numbers is 2 x 2345 x 4983 = 23370270

Least Common Multiple of 4690,9966 with GCF Formula

Least Common Multiple of 4690,9966 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 4690,9966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4690,9966) = 2

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

GCF(4690,9966) x common factors =2 x 1 = 2

LCM(4690,9966) = ( 4690 × 9966 ) / 2

LCM(4690,9966) = 46740540 / 2

LCM(4690,9966) = 23370270


Lets's calculate GCF of 152,567

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23370270/1

Therefore the LCM of Fractions 4690/152,9966/567 is 23370270

Greatest Common Factor of 152,567 By Matching Biggest Common Factor Method

Greatest Common Factor of 152,567 By Matching Biggest Common Factor Method

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Greatest Common Factor

We found the factors 152,567 . The biggest common factor number is the GCF number.
So the greatest common factor 152,567 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4690/152, 9966/567

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 4690/152, 9966/567?

Answer: LCM of Numerators as per given numbers 4690/152, 9966/567 is

LCM of Numerators i.e. for 4690,9966 is 23370270

GCF of denominators i.e. for 152,567 is 1.

Thus, LCM of Fractions is 23370270.Finally, LCM of Fractions for 4690/152, 9966/567 is 23370270.