Least Common Multiple of 5773/608, 4282/1615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5773/608, 4282/1615 quickly i.e. 24719986/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5773/608, 4282/1615 is 24719986/19.

LCM(5773/608, 4282/1615) = 24719986/19

LCM of 5773/608, 4282/1615

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 5773/608,4282/1615

Given numbers are 5773/608,4282/1615

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 5773,4282

Least Common Multiple of Numerators i.e. LCM of 5773,4282 is 24719986.

GCF of Denominators means GCF of 608,1615 as per the given fractions.

GCF of 608,1615 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5773,4282

LCM of Fractions 5773/608,4282/1615 is 24719986/19

Given numbers has no common factors except 1. So, there LCM is their product i.e 24719986

Least Common Multiple of 5773,4282 with GCF Formula

Least Common Multiple of 5773,4282 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 5773,4282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5773,4282) = 1

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

GCF(5773,4282) x common factors =1 x 1 = 1

LCM(5773,4282) = ( 5773 × 4282 ) / 1

LCM(5773,4282) = 24719986 / 1

LCM(5773,4282) = 24719986


Lets's calculate GCF of 608,1615

19 608, 1615
32, 85

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24719986/19

Therefore the LCM of Fractions 5773/608,4282/1615 is 24719986/19

Greatest Common Factor of 608,1615 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,1615 By Matching Biggest Common Factor Method

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 1615

List of positive integer factors of 1615 that divides 1615 without a remainder.

1,5,17,19,85,95,323,1615

Greatest Common Factor

We found the factors 608,1615 . The biggest common factor number is the GCF number.
So the greatest common factor 608,1615 is 19.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5773/608, 4282/1615

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 5773/608, 4282/1615?

Answer: LCM of Numerators as per given numbers 5773/608, 4282/1615 is

LCM of Numerators i.e. for 5773,4282 is 24719986

GCF of denominators i.e. for 608,1615 is 19.

Thus, LCM of Fractions is 24719986/19.Finally, LCM of Fractions for 5773/608, 4282/1615 is 24719986/19.