Least Common Multiple of 4794/161, 6018/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4794/161, 6018/889 quickly i.e. 282846/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4794/161, 6018/889 is 282846/7.

LCM(4794/161, 6018/889) = 282846/7

LCM of 4794/161, 6018/889

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 4794/161,6018/889

Given numbers are 4794/161,6018/889

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 4794,6018

Least Common Multiple of Numerators i.e. LCM of 4794,6018 is 282846.

GCF of Denominators means GCF of 161,889 as per the given fractions.

GCF of 161,889 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4794,6018

LCM of Fractions 4794/161,6018/889 is 282846/7

2 4794, 6018
3 2397, 3009
17 799, 1003
47, 59

∴ So the LCM of the given numbers is 2 x 3 x 17 x 47 x 59 = 282846

Least Common Multiple of 4794,6018 with GCF Formula

Least Common Multiple of 4794,6018 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 4794,6018 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4794,6018) = 102

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

GCF(4794,6018) x common factors =102 x 1 = 102

LCM(4794,6018) = ( 4794 × 6018 ) / 102

LCM(4794,6018) = 28850292 / 102

LCM(4794,6018) = 282846


Lets's calculate GCF of 161,889

7 161, 889
23, 127

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 282846/7

Therefore the LCM of Fractions 4794/161,6018/889 is 282846/7

Greatest Common Factor of 161,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 161,889 By Matching Biggest Common Factor Method

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors 161,889 . The biggest common factor number is the GCF number.
So the greatest common factor 161,889 is 7.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4794/161, 6018/889

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 4794/161, 6018/889?

Answer: LCM of Numerators as per given numbers 4794/161, 6018/889 is

LCM of Numerators i.e. for 4794,6018 is 282846

GCF of denominators i.e. for 161,889 is 7.

Thus, LCM of Fractions is 282846/7.Finally, LCM of Fractions for 4794/161, 6018/889 is 282846/7.