Least Common Multiple of 509/815, 709/894, 840/403

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 509/815, 709/894, 840/403 quickly i.e. 303140040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 509/815, 709/894, 840/403 is 303140040.

LCM(509/815, 709/894, 840/403) = 303140040

LCM of 509/815, 709/894, 840/403

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 509/815,709/894,840/403

Given numbers are 509/815,709/894,840/403

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 509,709,840

Least Common Multiple of Numerators i.e. LCM of 509,709,840 is 303140040.

GCF of Denominators means GCF of 815,894,403 as per the given fractions.

GCF of 815,894,403 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 509,709,840

LCM of Fractions 509/815,709/894,840/403 is 303140040

Given numbers has no common factors except 1. So, there LCM is their product i.e 303140040

Least Common Multiple of 509,709,840 with GCF Formula

Least Common Multiple of 509,709,840 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 509,709,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,709,840) = 1

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

GCF(509,709,840) x common factors =1 x 1 = 1

LCM(509,709,840) = ( 509 × 709 × 840 ) / 1

LCM(509,709,840) = 303140040 / 1

LCM(509,709,840) = 303140040


Lets's calculate GCF of 815,894,403

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 303140040/1

Therefore the LCM of Fractions 509/815,709/894,840/403 is 303140040

Greatest Common Factor of 815,894,403 By Matching Biggest Common Factor Method

Greatest Common Factor of 815,894,403 By Matching Biggest Common Factor Method

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Greatest Common Factor

We found the factors 815,894,403 . The biggest common factor number is the GCF number.
So the greatest common factor 815,894,403 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 509/815, 709/894, 840/403

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 509/815, 709/894, 840/403?

Answer: LCM of Numerators as per given numbers 509/815, 709/894, 840/403 is

LCM of Numerators i.e. for 509,709,840 is 303140040

GCF of denominators i.e. for 815,894,403 is 1.

Thus, LCM of Fractions is 303140040.Finally, LCM of Fractions for 509/815, 709/894, 840/403 is 303140040.