Least Common Multiple of 565/70, 336/34, 815/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 565/70, 336/34, 815/810 quickly i.e. 15471960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 565/70, 336/34, 815/810 is 15471960.

LCM(565/70, 336/34, 815/810) = 15471960

LCM of 565/70, 336/34, 815/810

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 565/70,336/34,815/810

Given numbers are 565/70,336/34,815/810

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 565,336,815

Least Common Multiple of Numerators i.e. LCM of 565,336,815 is 30943920.

GCF of Denominators means GCF of 70,34,810 as per the given fractions.

GCF of 70,34,810 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 565,336,815

LCM of Fractions 565/70,336/34,815/810 is 15471960

5 565, 336, 815
113, 336, 163

∴ So the LCM of the given numbers is 5 x 113 x 336 x 163 = 30943920

Least Common Multiple of 565,336,815 with GCF Formula

Least Common Multiple of 565,336,815 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 565,336,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(565,336,815) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(565,336,815) x common factors =1 x 5 = 5

LCM(565,336,815) = ( 565 × 336 × 815 ) / 5

LCM(565,336,815) = 154719600 / 5

LCM(565,336,815) = 30943920


Lets's calculate GCF of 70,34,810

2 70, 34, 810
35, 17, 405

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30943920/2

Therefore the LCM of Fractions 565/70,336/34,815/810 is 15471960

Greatest Common Factor of 70,34,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,34,810 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 70,34,810 . The biggest common factor number is the GCF number.
So the greatest common factor 70,34,810 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 565/70, 336/34, 815/810

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 565/70, 336/34, 815/810?

Answer: LCM of Numerators as per given numbers 565/70, 336/34, 815/810 is

LCM of Numerators i.e. for 565,336,815 is 30943920

GCF of denominators i.e. for 70,34,810 is 2.

Thus, LCM of Fractions is 15471960.Finally, LCM of Fractions for 565/70, 336/34, 815/810 is 15471960.