Least Common Multiple of 43/559, 21/262, 797/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 43/559, 21/262, 797/684 quickly i.e. 719691 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/559, 21/262, 797/684 is 719691.

LCM(43/559, 21/262, 797/684) = 719691

LCM of 43/559, 21/262, 797/684

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 43/559,21/262,797/684

Given numbers are 43/559,21/262,797/684

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 43,21,797

Least Common Multiple of Numerators i.e. LCM of 43,21,797 is 719691.

GCF of Denominators means GCF of 559,262,684 as per the given fractions.

GCF of 559,262,684 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,21,797

LCM of Fractions 43/559,21/262,797/684 is 719691

Given numbers has no common factors except 1. So, there LCM is their product i.e 719691

Least Common Multiple of 43,21,797 with GCF Formula

Least Common Multiple of 43,21,797 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 43,21,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,21,797) = 1

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

GCF(43,21,797) x common factors =1 x 1 = 1

LCM(43,21,797) = ( 43 × 21 × 797 ) / 1

LCM(43,21,797) = 719691 / 1

LCM(43,21,797) = 719691


Lets's calculate GCF of 559,262,684

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 719691/1

Therefore the LCM of Fractions 43/559,21/262,797/684 is 719691

Greatest Common Factor of 559,262,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 559,262,684 By Matching Biggest Common Factor Method

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 559,262,684 . The biggest common factor number is the GCF number.
So the greatest common factor 559,262,684 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 43/559, 21/262, 797/684

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 43/559, 21/262, 797/684?

Answer: LCM of Numerators as per given numbers 43/559, 21/262, 797/684 is

LCM of Numerators i.e. for 43,21,797 is 719691

GCF of denominators i.e. for 559,262,684 is 1.

Thus, LCM of Fractions is 719691.Finally, LCM of Fractions for 43/559, 21/262, 797/684 is 719691.