Least Common Multiple of 3357/834, 8827/7023

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3357/834, 8827/7023 quickly i.e. 9877413 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3357/834, 8827/7023 is 9877413.

LCM(3357/834, 8827/7023) = 9877413

LCM of 3357/834, 8827/7023

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 3357/834,8827/7023

Given numbers are 3357/834,8827/7023

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 3357,8827

Least Common Multiple of Numerators i.e. LCM of 3357,8827 is 29632239.

GCF of Denominators means GCF of 834,7023 as per the given fractions.

GCF of 834,7023 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3357,8827

LCM of Fractions 3357/834,8827/7023 is 9877413

Given numbers has no common factors except 1. So, there LCM is their product i.e 29632239

Least Common Multiple of 3357,8827 with GCF Formula

Least Common Multiple of 3357,8827 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 3357,8827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3357,8827) = 1

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

GCF(3357,8827) x common factors =1 x 1 = 1

LCM(3357,8827) = ( 3357 × 8827 ) / 1

LCM(3357,8827) = 29632239 / 1

LCM(3357,8827) = 29632239


Lets's calculate GCF of 834,7023

3 834, 7023
278, 2341

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29632239/3

Therefore the LCM of Fractions 3357/834,8827/7023 is 9877413

Greatest Common Factor of 834,7023 By Matching Biggest Common Factor Method

Greatest Common Factor of 834,7023 By Matching Biggest Common Factor Method

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Factors of 7023

List of positive integer factors of 7023 that divides 7023 without a remainder.

1,3,2341,7023

Greatest Common Factor

We found the factors 834,7023 . The biggest common factor number is the GCF number.
So the greatest common factor 834,7023 is 3.


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 3357/834, 8827/7023

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 3357/834, 8827/7023?

Answer: LCM of Numerators as per given numbers 3357/834, 8827/7023 is

LCM of Numerators i.e. for 3357,8827 is 29632239

GCF of denominators i.e. for 834,7023 is 3.

Thus, LCM of Fractions is 9877413.Finally, LCM of Fractions for 3357/834, 8827/7023 is 9877413.