Least Common Multiple of 802/827, 9971/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 802/827, 9971/509 quickly i.e. 7996742 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 802/827, 9971/509 is 7996742.

LCM(802/827, 9971/509) = 7996742

LCM of 802/827, 9971/509

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 802/827,9971/509

Given numbers are 802/827,9971/509

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 802,9971

Least Common Multiple of Numerators i.e. LCM of 802,9971 is 7996742.

GCF of Denominators means GCF of 827,509 as per the given fractions.

GCF of 827,509 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 802,9971

LCM of Fractions 802/827,9971/509 is 7996742

Given numbers has no common factors except 1. So, there LCM is their product i.e 7996742

Least Common Multiple of 802,9971 with GCF Formula

Least Common Multiple of 802,9971 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 802,9971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,9971) = 1

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

GCF(802,9971) x common factors =1 x 1 = 1

LCM(802,9971) = ( 802 × 9971 ) / 1

LCM(802,9971) = 7996742 / 1

LCM(802,9971) = 7996742


Lets's calculate GCF of 827,509

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7996742/1

Therefore the LCM of Fractions 802/827,9971/509 is 7996742

Greatest Common Factor of 827,509 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,509 By Matching Biggest Common Factor Method

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

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 827,509 . The biggest common factor number is the GCF number.
So the greatest common factor 827,509 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 802/827, 9971/509

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 802/827, 9971/509?

Answer: LCM of Numerators as per given numbers 802/827, 9971/509 is

LCM of Numerators i.e. for 802,9971 is 7996742

GCF of denominators i.e. for 827,509 is 1.

Thus, LCM of Fractions is 7996742.Finally, LCM of Fractions for 802/827, 9971/509 is 7996742.