Least Common Multiple of 20/287, 743/516, 603/434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 20/287, 743/516, 603/434 quickly i.e. 8960580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/287, 743/516, 603/434 is 8960580.

LCM(20/287, 743/516, 603/434) = 8960580

LCM of 20/287, 743/516, 603/434

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 20/287,743/516,603/434

Given numbers are 20/287,743/516,603/434

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 20,743,603

Least Common Multiple of Numerators i.e. LCM of 20,743,603 is 8960580.

GCF of Denominators means GCF of 287,516,434 as per the given fractions.

GCF of 287,516,434 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,743,603

LCM of Fractions 20/287,743/516,603/434 is 8960580

Given numbers has no common factors except 1. So, there LCM is their product i.e 8960580

Least Common Multiple of 20,743,603 with GCF Formula

Least Common Multiple of 20,743,603 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 20,743,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,743,603) = 1

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

GCF(20,743,603) x common factors =1 x 1 = 1

LCM(20,743,603) = ( 20 × 743 × 603 ) / 1

LCM(20,743,603) = 8960580 / 1

LCM(20,743,603) = 8960580


Lets's calculate GCF of 287,516,434

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8960580/1

Therefore the LCM of Fractions 20/287,743/516,603/434 is 8960580

Greatest Common Factor of 287,516,434 By Matching Biggest Common Factor Method

Greatest Common Factor of 287,516,434 By Matching Biggest Common Factor Method

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Greatest Common Factor

We found the factors 287,516,434 . The biggest common factor number is the GCF number.
So the greatest common factor 287,516,434 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 20/287, 743/516, 603/434

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 20/287, 743/516, 603/434?

Answer: LCM of Numerators as per given numbers 20/287, 743/516, 603/434 is

LCM of Numerators i.e. for 20,743,603 is 8960580

GCF of denominators i.e. for 287,516,434 is 1.

Thus, LCM of Fractions is 8960580.Finally, LCM of Fractions for 20/287, 743/516, 603/434 is 8960580.