Least Common Multiple of 9840/851, 1817/771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9840/851, 1817/771 quickly i.e. 17879280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9840/851, 1817/771 is 17879280.

LCM(9840/851, 1817/771) = 17879280

LCM of 9840/851, 1817/771

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 9840/851,1817/771

Given numbers are 9840/851,1817/771

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 9840,1817

Least Common Multiple of Numerators i.e. LCM of 9840,1817 is 17879280.

GCF of Denominators means GCF of 851,771 as per the given fractions.

GCF of 851,771 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9840,1817

LCM of Fractions 9840/851,1817/771 is 17879280

Given numbers has no common factors except 1. So, there LCM is their product i.e 17879280

Least Common Multiple of 9840,1817 with GCF Formula

Least Common Multiple of 9840,1817 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 9840,1817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9840,1817) = 1

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

GCF(9840,1817) x common factors =1 x 1 = 1

LCM(9840,1817) = ( 9840 × 1817 ) / 1

LCM(9840,1817) = 17879280 / 1

LCM(9840,1817) = 17879280


Lets's calculate GCF of 851,771

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17879280/1

Therefore the LCM of Fractions 9840/851,1817/771 is 17879280

Greatest Common Factor of 851,771 By Matching Biggest Common Factor Method

Greatest Common Factor of 851,771 By Matching Biggest Common Factor Method

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Greatest Common Factor

We found the factors 851,771 . The biggest common factor number is the GCF number.
So the greatest common factor 851,771 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 9840/851, 1817/771

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 9840/851, 1817/771?

Answer: LCM of Numerators as per given numbers 9840/851, 1817/771 is

LCM of Numerators i.e. for 9840,1817 is 17879280

GCF of denominators i.e. for 851,771 is 1.

Thus, LCM of Fractions is 17879280.Finally, LCM of Fractions for 9840/851, 1817/771 is 17879280.