Least Common Multiple of 35/12, 69/31, 85/23, 36/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/12, 69/31, 85/23, 36/414 quickly i.e. 492660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/12, 69/31, 85/23, 36/414 is 492660.

LCM(35/12, 69/31, 85/23, 36/414) = 492660

LCM of 35/12, 69/31, 85/23, 36/414

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 35/12,69/31,85/23,36/414

Given numbers are 35/12,69/31,85/23,36/414

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 35,69,85,36

Least Common Multiple of Numerators i.e. LCM of 35,69,85,36 is 492660.

GCF of Denominators means GCF of 12,31,23,414 as per the given fractions.

GCF of 12,31,23,414 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,69,85,36

LCM of Fractions 35/12,69/31,85/23,36/414 is 492660

3 35, 69, 85, 36
5 35, 23, 85, 12
7, 23, 17, 12

∴ So the LCM of the given numbers is 3 x 5 x 7 x 23 x 17 x 12 = 492660

Least Common Multiple of 35,69,85,36 with GCF Formula

Least Common Multiple of 35,69,85,36 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 35,69,85,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,69,85,36) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(35,69,85,36) x common factors =1 x 15 = 15

LCM(35,69,85,36) = ( 35 × 69 × 85 × 36 ) / 15

LCM(35,69,85,36) = 7389900 / 15

LCM(35,69,85,36) = 492660


Lets's calculate GCF of 12,31,23,414

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 492660/1

Therefore the LCM of Fractions 35/12,69/31,85/23,36/414 is 492660

Greatest Common Factor of 12,31,23,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,31,23,414 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 12,31,23,414 . The biggest common factor number is the GCF number.
So the greatest common factor 12,31,23,414 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 35/12, 69/31, 85/23, 36/414

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 35/12, 69/31, 85/23, 36/414?

Answer: LCM of Numerators as per given numbers 35/12, 69/31, 85/23, 36/414 is

LCM of Numerators i.e. for 35,69,85,36 is 492660

GCF of denominators i.e. for 12,31,23,414 is 1.

Thus, LCM of Fractions is 492660.Finally, LCM of Fractions for 35/12, 69/31, 85/23, 36/414 is 492660.