Least Common Multiple of 693/368, 902/538, 744/773

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 693/368, 902/538, 744/773 quickly i.e. 7046424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 693/368, 902/538, 744/773 is 7046424.

LCM(693/368, 902/538, 744/773) = 7046424

LCM of 693/368, 902/538, 744/773

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 693/368,902/538,744/773

Given numbers are 693/368,902/538,744/773

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 693,902,744

Least Common Multiple of Numerators i.e. LCM of 693,902,744 is 7046424.

GCF of Denominators means GCF of 368,538,773 as per the given fractions.

GCF of 368,538,773 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 693,902,744

LCM of Fractions 693/368,902/538,744/773 is 7046424

2 693, 902, 744
3 693, 451, 372
11 231, 451, 124
21, 41, 124

∴ So the LCM of the given numbers is 2 x 3 x 11 x 21 x 41 x 124 = 7046424

Least Common Multiple of 693,902,744 with GCF Formula

Least Common Multiple of 693,902,744 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 693,902,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(693,902,744) = 1

common factors(in case of two or more numbers have common factors) = 66

GCF(693,902,744) x common factors =1 x 66 = 66

LCM(693,902,744) = ( 693 × 902 × 744 ) / 66

LCM(693,902,744) = 465063984 / 66

LCM(693,902,744) = 7046424


Lets's calculate GCF of 368,538,773

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7046424/1

Therefore the LCM of Fractions 693/368,902/538,744/773 is 7046424

Greatest Common Factor of 368,538,773 By Matching Biggest Common Factor Method

Greatest Common Factor of 368,538,773 By Matching Biggest Common Factor Method

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Greatest Common Factor

We found the factors 368,538,773 . The biggest common factor number is the GCF number.
So the greatest common factor 368,538,773 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 693/368, 902/538, 744/773

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 693/368, 902/538, 744/773?

Answer: LCM of Numerators as per given numbers 693/368, 902/538, 744/773 is

LCM of Numerators i.e. for 693,902,744 is 7046424

GCF of denominators i.e. for 368,538,773 is 1.

Thus, LCM of Fractions is 7046424.Finally, LCM of Fractions for 693/368, 902/538, 744/773 is 7046424.