Least Common Multiple of 577/90, 368/10, 693/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 577/90, 368/10, 693/654 quickly i.e. 73574424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 577/90, 368/10, 693/654 is 73574424.

LCM(577/90, 368/10, 693/654) = 73574424

LCM of 577/90, 368/10, 693/654

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 577/90,368/10,693/654

Given numbers are 577/90,368/10,693/654

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 577,368,693

Least Common Multiple of Numerators i.e. LCM of 577,368,693 is 147148848.

GCF of Denominators means GCF of 90,10,654 as per the given fractions.

GCF of 90,10,654 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 577,368,693

LCM of Fractions 577/90,368/10,693/654 is 73574424

Given numbers has no common factors except 1. So, there LCM is their product i.e 147148848

Least Common Multiple of 577,368,693 with GCF Formula

Least Common Multiple of 577,368,693 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 577,368,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(577,368,693) = 1

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

GCF(577,368,693) x common factors =1 x 1 = 1

LCM(577,368,693) = ( 577 × 368 × 693 ) / 1

LCM(577,368,693) = 147148848 / 1

LCM(577,368,693) = 147148848


Lets's calculate GCF of 90,10,654

2 90, 10, 654
45, 5, 327

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 147148848/2

Therefore the LCM of Fractions 577/90,368/10,693/654 is 73574424

Greatest Common Factor of 90,10,654 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,10,654 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Greatest Common Factor

We found the factors 90,10,654 . The biggest common factor number is the GCF number.
So the greatest common factor 90,10,654 is 2.


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 577/90, 368/10, 693/654

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 577/90, 368/10, 693/654?

Answer: LCM of Numerators as per given numbers 577/90, 368/10, 693/654 is

LCM of Numerators i.e. for 577,368,693 is 147148848

GCF of denominators i.e. for 90,10,654 is 2.

Thus, LCM of Fractions is 73574424.Finally, LCM of Fractions for 577/90, 368/10, 693/654 is 73574424.