Least Common Multiple of 190/311, 8636/9670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 190/311, 8636/9670 quickly i.e. 820420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 190/311, 8636/9670 is 820420.

LCM(190/311, 8636/9670) = 820420

LCM of 190/311, 8636/9670

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 190/311,8636/9670

Given numbers are 190/311,8636/9670

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 190,8636

Least Common Multiple of Numerators i.e. LCM of 190,8636 is 820420.

GCF of Denominators means GCF of 311,9670 as per the given fractions.

GCF of 311,9670 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 190,8636

LCM of Fractions 190/311,8636/9670 is 820420

2 190, 8636
95, 4318

∴ So the LCM of the given numbers is 2 x 95 x 4318 = 820420

Least Common Multiple of 190,8636 with GCF Formula

Least Common Multiple of 190,8636 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 190,8636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(190,8636) = 2

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

GCF(190,8636) x common factors =2 x 1 = 2

LCM(190,8636) = ( 190 × 8636 ) / 2

LCM(190,8636) = 1640840 / 2

LCM(190,8636) = 820420


Lets's calculate GCF of 311,9670

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 820420/1

Therefore the LCM of Fractions 190/311,8636/9670 is 820420

Greatest Common Factor of 311,9670 By Matching Biggest Common Factor Method

Greatest Common Factor of 311,9670 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 9670

List of positive integer factors of 9670 that divides 9670 without a remainder.

1,2,5,10,967,1934,4835,9670

Greatest Common Factor

We found the factors 311,9670 . The biggest common factor number is the GCF number.
So the greatest common factor 311,9670 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 190/311, 8636/9670

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 190/311, 8636/9670?

Answer: LCM of Numerators as per given numbers 190/311, 8636/9670 is

LCM of Numerators i.e. for 190,8636 is 820420

GCF of denominators i.e. for 311,9670 is 1.

Thus, LCM of Fractions is 820420.Finally, LCM of Fractions for 190/311, 8636/9670 is 820420.