Least Common Multiple of 1352/518, 3223/1583

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1352/518, 3223/1583 quickly i.e. 4357496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1352/518, 3223/1583 is 4357496.

LCM(1352/518, 3223/1583) = 4357496

LCM of 1352/518, 3223/1583

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 1352/518,3223/1583

Given numbers are 1352/518,3223/1583

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 1352,3223

Least Common Multiple of Numerators i.e. LCM of 1352,3223 is 4357496.

GCF of Denominators means GCF of 518,1583 as per the given fractions.

GCF of 518,1583 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1352,3223

LCM of Fractions 1352/518,3223/1583 is 4357496

Given numbers has no common factors except 1. So, there LCM is their product i.e 4357496

Least Common Multiple of 1352,3223 with GCF Formula

Least Common Multiple of 1352,3223 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 1352,3223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1352,3223) = 1

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

GCF(1352,3223) x common factors =1 x 1 = 1

LCM(1352,3223) = ( 1352 × 3223 ) / 1

LCM(1352,3223) = 4357496 / 1

LCM(1352,3223) = 4357496


Lets's calculate GCF of 518,1583

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4357496/1

Therefore the LCM of Fractions 1352/518,3223/1583 is 4357496

Greatest Common Factor of 518,1583 By Matching Biggest Common Factor Method

Greatest Common Factor of 518,1583 By Matching Biggest Common Factor Method

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Factors of 1583

List of positive integer factors of 1583 that divides 1583 without a remainder.

1,1583

Greatest Common Factor

We found the factors 518,1583 . The biggest common factor number is the GCF number.
So the greatest common factor 518,1583 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1352/518, 3223/1583

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 1352/518, 3223/1583?

Answer: LCM of Numerators as per given numbers 1352/518, 3223/1583 is

LCM of Numerators i.e. for 1352,3223 is 4357496

GCF of denominators i.e. for 518,1583 is 1.

Thus, LCM of Fractions is 4357496.Finally, LCM of Fractions for 1352/518, 3223/1583 is 4357496.