Least Common Multiple of 7306/852, 4779/4468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7306/852, 4779/4468 quickly i.e. 34915374/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7306/852, 4779/4468 is 34915374/4.

LCM(7306/852, 4779/4468) = 34915374/4

LCM of 7306/852, 4779/4468

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 7306/852,4779/4468

Given numbers are 7306/852,4779/4468

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 7306,4779

Least Common Multiple of Numerators i.e. LCM of 7306,4779 is 34915374.

GCF of Denominators means GCF of 852,4468 as per the given fractions.

GCF of 852,4468 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7306,4779

LCM of Fractions 7306/852,4779/4468 is 34915374/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 34915374

Least Common Multiple of 7306,4779 with GCF Formula

Least Common Multiple of 7306,4779 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 7306,4779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7306,4779) = 1

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

GCF(7306,4779) x common factors =1 x 1 = 1

LCM(7306,4779) = ( 7306 × 4779 ) / 1

LCM(7306,4779) = 34915374 / 1

LCM(7306,4779) = 34915374


Lets's calculate GCF of 852,4468

2 852, 4468
2 426, 2234
213, 1117

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34915374/4

Therefore the LCM of Fractions 7306/852,4779/4468 is 34915374/4

Greatest Common Factor of 852,4468 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,4468 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 4468

List of positive integer factors of 4468 that divides 4468 without a remainder.

1,2,4,1117,2234,4468

Greatest Common Factor

We found the factors 852,4468 . The biggest common factor number is the GCF number.
So the greatest common factor 852,4468 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7306/852, 4779/4468

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 7306/852, 4779/4468?

Answer: LCM of Numerators as per given numbers 7306/852, 4779/4468 is

LCM of Numerators i.e. for 7306,4779 is 34915374

GCF of denominators i.e. for 852,4468 is 4.

Thus, LCM of Fractions is 34915374/4.Finally, LCM of Fractions for 7306/852, 4779/4468 is 34915374/4.