Least Common Multiple of 585/66, 757/88, 805/973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 585/66, 757/88, 805/973 quickly i.e. 71298045 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 585/66, 757/88, 805/973 is 71298045.

LCM(585/66, 757/88, 805/973) = 71298045

LCM of 585/66, 757/88, 805/973

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 585/66,757/88,805/973

Given numbers are 585/66,757/88,805/973

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 585,757,805

Least Common Multiple of Numerators i.e. LCM of 585,757,805 is 71298045.

GCF of Denominators means GCF of 66,88,973 as per the given fractions.

GCF of 66,88,973 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 585,757,805

LCM of Fractions 585/66,757/88,805/973 is 71298045

5 585, 757, 805
117, 757, 161

∴ So the LCM of the given numbers is 5 x 117 x 757 x 161 = 71298045

Least Common Multiple of 585,757,805 with GCF Formula

Least Common Multiple of 585,757,805 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 585,757,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,757,805) = 1

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

GCF(585,757,805) x common factors =1 x 5 = 5

LCM(585,757,805) = ( 585 × 757 × 805 ) / 5

LCM(585,757,805) = 356490225 / 5

LCM(585,757,805) = 71298045


Lets's calculate GCF of 66,88,973

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71298045/1

Therefore the LCM of Fractions 585/66,757/88,805/973 is 71298045

Greatest Common Factor of 66,88,973 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,88,973 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Greatest Common Factor

We found the factors 66,88,973 . The biggest common factor number is the GCF number.
So the greatest common factor 66,88,973 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 585/66, 757/88, 805/973

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 585/66, 757/88, 805/973?

Answer: LCM of Numerators as per given numbers 585/66, 757/88, 805/973 is

LCM of Numerators i.e. for 585,757,805 is 71298045

GCF of denominators i.e. for 66,88,973 is 1.

Thus, LCM of Fractions is 71298045.Finally, LCM of Fractions for 585/66, 757/88, 805/973 is 71298045.