Least Common Multiple of 21/803, 517/930, 995/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/803, 517/930, 995/509 quickly i.e. 10802715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/803, 517/930, 995/509 is 10802715.

LCM(21/803, 517/930, 995/509) = 10802715

LCM of 21/803, 517/930, 995/509

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 21/803,517/930,995/509

Given numbers are 21/803,517/930,995/509

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 21,517,995

Least Common Multiple of Numerators i.e. LCM of 21,517,995 is 10802715.

GCF of Denominators means GCF of 803,930,509 as per the given fractions.

GCF of 803,930,509 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,517,995

LCM of Fractions 21/803,517/930,995/509 is 10802715

Given numbers has no common factors except 1. So, there LCM is their product i.e 10802715

Least Common Multiple of 21,517,995 with GCF Formula

Least Common Multiple of 21,517,995 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 21,517,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,517,995) = 1

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

GCF(21,517,995) x common factors =1 x 1 = 1

LCM(21,517,995) = ( 21 × 517 × 995 ) / 1

LCM(21,517,995) = 10802715 / 1

LCM(21,517,995) = 10802715


Lets's calculate GCF of 803,930,509

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10802715/1

Therefore the LCM of Fractions 21/803,517/930,995/509 is 10802715

Greatest Common Factor of 803,930,509 By Matching Biggest Common Factor Method

Greatest Common Factor of 803,930,509 By Matching Biggest Common Factor Method

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Greatest Common Factor

We found the factors 803,930,509 . The biggest common factor number is the GCF number.
So the greatest common factor 803,930,509 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 21/803, 517/930, 995/509

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 21/803, 517/930, 995/509?

Answer: LCM of Numerators as per given numbers 21/803, 517/930, 995/509 is

LCM of Numerators i.e. for 21,517,995 is 10802715

GCF of denominators i.e. for 803,930,509 is 1.

Thus, LCM of Fractions is 10802715.Finally, LCM of Fractions for 21/803, 517/930, 995/509 is 10802715.