Least Common Multiple of 9078/682, 3404/5070

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9078/682, 3404/5070 quickly i.e. 7725378 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9078/682, 3404/5070 is 7725378.

LCM(9078/682, 3404/5070) = 7725378

LCM of 9078/682, 3404/5070

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 9078/682,3404/5070

Given numbers are 9078/682,3404/5070

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 9078,3404

Least Common Multiple of Numerators i.e. LCM of 9078,3404 is 15450756.

GCF of Denominators means GCF of 682,5070 as per the given fractions.

GCF of 682,5070 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9078,3404

LCM of Fractions 9078/682,3404/5070 is 7725378

2 9078, 3404
4539, 1702

∴ So the LCM of the given numbers is 2 x 4539 x 1702 = 15450756

Least Common Multiple of 9078,3404 with GCF Formula

Least Common Multiple of 9078,3404 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 9078,3404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9078,3404) = 2

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

GCF(9078,3404) x common factors =2 x 1 = 2

LCM(9078,3404) = ( 9078 × 3404 ) / 2

LCM(9078,3404) = 30901512 / 2

LCM(9078,3404) = 15450756


Lets's calculate GCF of 682,5070

2 682, 5070
341, 2535

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15450756/2

Therefore the LCM of Fractions 9078/682,3404/5070 is 7725378

Greatest Common Factor of 682,5070 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,5070 By Matching Biggest Common Factor Method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 5070

List of positive integer factors of 5070 that divides 5070 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,169,195,338,390,507,845,1014,1690,2535,5070

Greatest Common Factor

We found the factors 682,5070 . The biggest common factor number is the GCF number.
So the greatest common factor 682,5070 is 2.


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 9078/682, 3404/5070

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 9078/682, 3404/5070?

Answer: LCM of Numerators as per given numbers 9078/682, 3404/5070 is

LCM of Numerators i.e. for 9078,3404 is 15450756

GCF of denominators i.e. for 682,5070 is 2.

Thus, LCM of Fractions is 7725378.Finally, LCM of Fractions for 9078/682, 3404/5070 is 7725378.