Least Common Multiple of 6835/18, 8465/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6835/18, 8465/962 quickly i.e. 11571655/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6835/18, 8465/962 is 11571655/2.

LCM(6835/18, 8465/962) = 11571655/2

LCM of 6835/18, 8465/962

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 6835/18,8465/962

Given numbers are 6835/18,8465/962

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 6835,8465

Least Common Multiple of Numerators i.e. LCM of 6835,8465 is 11571655.

GCF of Denominators means GCF of 18,962 as per the given fractions.

GCF of 18,962 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6835,8465

LCM of Fractions 6835/18,8465/962 is 11571655/2

5 6835, 8465
1367, 1693

∴ So the LCM of the given numbers is 5 x 1367 x 1693 = 11571655

Least Common Multiple of 6835,8465 with GCF Formula

Least Common Multiple of 6835,8465 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 6835,8465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6835,8465) = 5

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

GCF(6835,8465) x common factors =5 x 1 = 5

LCM(6835,8465) = ( 6835 × 8465 ) / 5

LCM(6835,8465) = 57858275 / 5

LCM(6835,8465) = 11571655


Lets's calculate GCF of 18,962

2 18, 962
9, 481

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11571655/2

Therefore the LCM of Fractions 6835/18,8465/962 is 11571655/2

Greatest Common Factor of 18,962 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,962 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 18,962 . The biggest common factor number is the GCF number.
So the greatest common factor 18,962 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 6835/18, 8465/962

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 6835/18, 8465/962?

Answer: LCM of Numerators as per given numbers 6835/18, 8465/962 is

LCM of Numerators i.e. for 6835,8465 is 11571655

GCF of denominators i.e. for 18,962 is 2.

Thus, LCM of Fractions is 11571655/2.Finally, LCM of Fractions for 6835/18, 8465/962 is 11571655/2.