Least Common Multiple of 1818/854, 9790/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1818/854, 9790/580 quickly i.e. 4449555 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1818/854, 9790/580 is 4449555.

LCM(1818/854, 9790/580) = 4449555

LCM of 1818/854, 9790/580

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 1818/854,9790/580

Given numbers are 1818/854,9790/580

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 1818,9790

Least Common Multiple of Numerators i.e. LCM of 1818,9790 is 8899110.

GCF of Denominators means GCF of 854,580 as per the given fractions.

GCF of 854,580 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1818,9790

LCM of Fractions 1818/854,9790/580 is 4449555

2 1818, 9790
909, 4895

∴ So the LCM of the given numbers is 2 x 909 x 4895 = 8899110

Least Common Multiple of 1818,9790 with GCF Formula

Least Common Multiple of 1818,9790 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 1818,9790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1818,9790) = 2

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

GCF(1818,9790) x common factors =2 x 1 = 2

LCM(1818,9790) = ( 1818 × 9790 ) / 2

LCM(1818,9790) = 17798220 / 2

LCM(1818,9790) = 8899110


Lets's calculate GCF of 854,580

2 854, 580
427, 290

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8899110/2

Therefore the LCM of Fractions 1818/854,9790/580 is 4449555

Greatest Common Factor of 854,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 854,580 By Matching Biggest Common Factor Method

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 854,580 . The biggest common factor number is the GCF number.
So the greatest common factor 854,580 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1818/854, 9790/580

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 1818/854, 9790/580?

Answer: LCM of Numerators as per given numbers 1818/854, 9790/580 is

LCM of Numerators i.e. for 1818,9790 is 8899110

GCF of denominators i.e. for 854,580 is 2.

Thus, LCM of Fractions is 4449555.Finally, LCM of Fractions for 1818/854, 9790/580 is 4449555.