Least Common Multiple of 4947/931, 3280/2121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4947/931, 3280/2121 quickly i.e. 16226160/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4947/931, 3280/2121 is 16226160/7.

LCM(4947/931, 3280/2121) = 16226160/7

LCM of 4947/931, 3280/2121

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 4947/931,3280/2121

Given numbers are 4947/931,3280/2121

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 4947,3280

Least Common Multiple of Numerators i.e. LCM of 4947,3280 is 16226160.

GCF of Denominators means GCF of 931,2121 as per the given fractions.

GCF of 931,2121 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4947,3280

LCM of Fractions 4947/931,3280/2121 is 16226160/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 16226160

Least Common Multiple of 4947,3280 with GCF Formula

Least Common Multiple of 4947,3280 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 4947,3280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4947,3280) = 1

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

GCF(4947,3280) x common factors =1 x 1 = 1

LCM(4947,3280) = ( 4947 × 3280 ) / 1

LCM(4947,3280) = 16226160 / 1

LCM(4947,3280) = 16226160


Lets's calculate GCF of 931,2121

7 931, 2121
133, 303

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16226160/7

Therefore the LCM of Fractions 4947/931,3280/2121 is 16226160/7

Greatest Common Factor of 931,2121 By Matching Biggest Common Factor Method

Greatest Common Factor of 931,2121 By Matching Biggest Common Factor Method

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Factors of 2121

List of positive integer factors of 2121 that divides 2121 without a remainder.

1,3,7,21,101,303,707,2121

Greatest Common Factor

We found the factors 931,2121 . The biggest common factor number is the GCF number.
So the greatest common factor 931,2121 is 7.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 4947/931, 3280/2121

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 4947/931, 3280/2121?

Answer: LCM of Numerators as per given numbers 4947/931, 3280/2121 is

LCM of Numerators i.e. for 4947,3280 is 16226160

GCF of denominators i.e. for 931,2121 is 7.

Thus, LCM of Fractions is 16226160/7.Finally, LCM of Fractions for 4947/931, 3280/2121 is 16226160/7.