Least Common Multiple of 686/45, 423/15, 109/435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 686/45, 423/15, 109/435 quickly i.e. 31629402/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 686/45, 423/15, 109/435 is 31629402/15.

LCM(686/45, 423/15, 109/435) = 31629402/15

LCM of 686/45, 423/15, 109/435

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 686/45,423/15,109/435

Given numbers are 686/45,423/15,109/435

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 686,423,109

Least Common Multiple of Numerators i.e. LCM of 686,423,109 is 31629402.

GCF of Denominators means GCF of 45,15,435 as per the given fractions.

GCF of 45,15,435 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 686,423,109

LCM of Fractions 686/45,423/15,109/435 is 31629402/15

Given numbers has no common factors except 1. So, there LCM is their product i.e 31629402

Least Common Multiple of 686,423,109 with GCF Formula

Least Common Multiple of 686,423,109 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 686,423,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,423,109) = 1

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

GCF(686,423,109) x common factors =1 x 1 = 1

LCM(686,423,109) = ( 686 × 423 × 109 ) / 1

LCM(686,423,109) = 31629402 / 1

LCM(686,423,109) = 31629402


Lets's calculate GCF of 45,15,435

3 45, 15, 435
5 15, 5, 145
3, 1, 29

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31629402/15

Therefore the LCM of Fractions 686/45,423/15,109/435 is 31629402/15

Greatest Common Factor of 45,15,435 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,15,435 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Greatest Common Factor

We found the factors 45,15,435 . The biggest common factor number is the GCF number.
So the greatest common factor 45,15,435 is 15.


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 686/45, 423/15, 109/435

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 686/45, 423/15, 109/435?

Answer: LCM of Numerators as per given numbers 686/45, 423/15, 109/435 is

LCM of Numerators i.e. for 686,423,109 is 31629402

GCF of denominators i.e. for 45,15,435 is 15.

Thus, LCM of Fractions is 31629402/15.Finally, LCM of Fractions for 686/45, 423/15, 109/435 is 31629402/15.