Least Common Multiple of 72/827, 307/304, 805/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/827, 307/304, 805/985 quickly i.e. 17793720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/827, 307/304, 805/985 is 17793720.

LCM(72/827, 307/304, 805/985) = 17793720

LCM of 72/827, 307/304, 805/985

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 72/827,307/304,805/985

Given numbers are 72/827,307/304,805/985

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 72,307,805

Least Common Multiple of Numerators i.e. LCM of 72,307,805 is 17793720.

GCF of Denominators means GCF of 827,304,985 as per the given fractions.

GCF of 827,304,985 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,307,805

LCM of Fractions 72/827,307/304,805/985 is 17793720

Given numbers has no common factors except 1. So, there LCM is their product i.e 17793720

Least Common Multiple of 72,307,805 with GCF Formula

Least Common Multiple of 72,307,805 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 72,307,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,307,805) = 1

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

GCF(72,307,805) x common factors =1 x 1 = 1

LCM(72,307,805) = ( 72 × 307 × 805 ) / 1

LCM(72,307,805) = 17793720 / 1

LCM(72,307,805) = 17793720


Lets's calculate GCF of 827,304,985

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17793720/1

Therefore the LCM of Fractions 72/827,307/304,805/985 is 17793720

Greatest Common Factor of 827,304,985 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,304,985 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 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Greatest Common Factor

We found the factors 827,304,985 . The biggest common factor number is the GCF number.
So the greatest common factor 827,304,985 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 72/827, 307/304, 805/985

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 72/827, 307/304, 805/985?

Answer: LCM of Numerators as per given numbers 72/827, 307/304, 805/985 is

LCM of Numerators i.e. for 72,307,805 is 17793720

GCF of denominators i.e. for 827,304,985 is 1.

Thus, LCM of Fractions is 17793720.Finally, LCM of Fractions for 72/827, 307/304, 805/985 is 17793720.