Least Common Multiple of 9831/143, 4663/3180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9831/143, 4663/3180 quickly i.e. 45841953 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9831/143, 4663/3180 is 45841953.

LCM(9831/143, 4663/3180) = 45841953

LCM of 9831/143, 4663/3180

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 9831/143,4663/3180

Given numbers are 9831/143,4663/3180

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 9831,4663

Least Common Multiple of Numerators i.e. LCM of 9831,4663 is 45841953.

GCF of Denominators means GCF of 143,3180 as per the given fractions.

GCF of 143,3180 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9831,4663

LCM of Fractions 9831/143,4663/3180 is 45841953

Given numbers has no common factors except 1. So, there LCM is their product i.e 45841953

Least Common Multiple of 9831,4663 with GCF Formula

Least Common Multiple of 9831,4663 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 9831,4663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9831,4663) = 1

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

GCF(9831,4663) x common factors =1 x 1 = 1

LCM(9831,4663) = ( 9831 × 4663 ) / 1

LCM(9831,4663) = 45841953 / 1

LCM(9831,4663) = 45841953


Lets's calculate GCF of 143,3180

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45841953/1

Therefore the LCM of Fractions 9831/143,4663/3180 is 45841953

Greatest Common Factor of 143,3180 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,3180 By Matching Biggest Common Factor Method

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 3180

List of positive integer factors of 3180 that divides 3180 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,53,60,106,159,212,265,318,530,636,795,1060,1590,3180

Greatest Common Factor

We found the factors 143,3180 . The biggest common factor number is the GCF number.
So the greatest common factor 143,3180 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9831/143, 4663/3180

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 9831/143, 4663/3180?

Answer: LCM of Numerators as per given numbers 9831/143, 4663/3180 is

LCM of Numerators i.e. for 9831,4663 is 45841953

GCF of denominators i.e. for 143,3180 is 1.

Thus, LCM of Fractions is 45841953.Finally, LCM of Fractions for 9831/143, 4663/3180 is 45841953.