Least Common Multiple of 817/42, 109/28, 315/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 817/42, 109/28, 315/685 quickly i.e. 28051695 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 817/42, 109/28, 315/685 is 28051695.

LCM(817/42, 109/28, 315/685) = 28051695

LCM of 817/42, 109/28, 315/685

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 817/42,109/28,315/685

Given numbers are 817/42,109/28,315/685

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 817,109,315

Least Common Multiple of Numerators i.e. LCM of 817,109,315 is 28051695.

GCF of Denominators means GCF of 42,28,685 as per the given fractions.

GCF of 42,28,685 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 817,109,315

LCM of Fractions 817/42,109/28,315/685 is 28051695

Given numbers has no common factors except 1. So, there LCM is their product i.e 28051695

Least Common Multiple of 817,109,315 with GCF Formula

Least Common Multiple of 817,109,315 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 817,109,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(817,109,315) = 1

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

GCF(817,109,315) x common factors =1 x 1 = 1

LCM(817,109,315) = ( 817 × 109 × 315 ) / 1

LCM(817,109,315) = 28051695 / 1

LCM(817,109,315) = 28051695


Lets's calculate GCF of 42,28,685

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28051695/1

Therefore the LCM of Fractions 817/42,109/28,315/685 is 28051695

Greatest Common Factor of 42,28,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,28,685 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 42,28,685 . The biggest common factor number is the GCF number.
So the greatest common factor 42,28,685 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 817/42, 109/28, 315/685

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 817/42, 109/28, 315/685?

Answer: LCM of Numerators as per given numbers 817/42, 109/28, 315/685 is

LCM of Numerators i.e. for 817,109,315 is 28051695

GCF of denominators i.e. for 42,28,685 is 1.

Thus, LCM of Fractions is 28051695.Finally, LCM of Fractions for 817/42, 109/28, 315/685 is 28051695.