Least Common Multiple of 2964/834, 3407/7122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2964/834, 3407/7122 quickly i.e. 1683058 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2964/834, 3407/7122 is 1683058.

LCM(2964/834, 3407/7122) = 1683058

LCM of 2964/834, 3407/7122

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 2964/834,3407/7122

Given numbers are 2964/834,3407/7122

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 2964,3407

Least Common Multiple of Numerators i.e. LCM of 2964,3407 is 10098348.

GCF of Denominators means GCF of 834,7122 as per the given fractions.

GCF of 834,7122 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2964,3407

LCM of Fractions 2964/834,3407/7122 is 1683058

Given numbers has no common factors except 1. So, there LCM is their product i.e 10098348

Least Common Multiple of 2964,3407 with GCF Formula

Least Common Multiple of 2964,3407 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 2964,3407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2964,3407) = 1

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

GCF(2964,3407) x common factors =1 x 1 = 1

LCM(2964,3407) = ( 2964 × 3407 ) / 1

LCM(2964,3407) = 10098348 / 1

LCM(2964,3407) = 10098348


Lets's calculate GCF of 834,7122

2 834, 7122
3 417, 3561
139, 1187

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10098348/6

Therefore the LCM of Fractions 2964/834,3407/7122 is 1683058

Greatest Common Factor of 834,7122 By Matching Biggest Common Factor Method

Greatest Common Factor of 834,7122 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 7122

List of positive integer factors of 7122 that divides 7122 without a remainder.

1,2,3,6,1187,2374,3561,7122

Greatest Common Factor

We found the factors 834,7122 . The biggest common factor number is the GCF number.
So the greatest common factor 834,7122 is 6.


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 2964/834, 3407/7122

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 2964/834, 3407/7122?

Answer: LCM of Numerators as per given numbers 2964/834, 3407/7122 is

LCM of Numerators i.e. for 2964,3407 is 10098348

GCF of denominators i.e. for 834,7122 is 6.

Thus, LCM of Fractions is 1683058.Finally, LCM of Fractions for 2964/834, 3407/7122 is 1683058.