Least Common Multiple of 659/311, 2190/8789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 659/311, 2190/8789 quickly i.e. 1443210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 659/311, 2190/8789 is 1443210.

LCM(659/311, 2190/8789) = 1443210

LCM of 659/311, 2190/8789

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 659/311,2190/8789

Given numbers are 659/311,2190/8789

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 659,2190

Least Common Multiple of Numerators i.e. LCM of 659,2190 is 1443210.

GCF of Denominators means GCF of 311,8789 as per the given fractions.

GCF of 311,8789 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 659,2190

LCM of Fractions 659/311,2190/8789 is 1443210

Given numbers has no common factors except 1. So, there LCM is their product i.e 1443210

Least Common Multiple of 659,2190 with GCF Formula

Least Common Multiple of 659,2190 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 659,2190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(659,2190) = 1

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

GCF(659,2190) x common factors =1 x 1 = 1

LCM(659,2190) = ( 659 × 2190 ) / 1

LCM(659,2190) = 1443210 / 1

LCM(659,2190) = 1443210


Lets's calculate GCF of 311,8789

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1443210/1

Therefore the LCM of Fractions 659/311,2190/8789 is 1443210

Greatest Common Factor of 311,8789 By Matching Biggest Common Factor Method

Greatest Common Factor of 311,8789 By Matching Biggest Common Factor Method

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Factors of 8789

List of positive integer factors of 8789 that divides 8789 without a remainder.

1,11,17,47,187,517,799,8789

Greatest Common Factor

We found the factors 311,8789 . The biggest common factor number is the GCF number.
So the greatest common factor 311,8789 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 659/311, 2190/8789

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 659/311, 2190/8789?

Answer: LCM of Numerators as per given numbers 659/311, 2190/8789 is

LCM of Numerators i.e. for 659,2190 is 1443210

GCF of denominators i.e. for 311,8789 is 1.

Thus, LCM of Fractions is 1443210.Finally, LCM of Fractions for 659/311, 2190/8789 is 1443210.