Least Common Multiple of 623/393, 735/482, 697/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 623/393, 735/482, 697/742 quickly i.e. 45594255 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 623/393, 735/482, 697/742 is 45594255.

LCM(623/393, 735/482, 697/742) = 45594255

LCM of 623/393, 735/482, 697/742

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 623/393,735/482,697/742

Given numbers are 623/393,735/482,697/742

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 623,735,697

Least Common Multiple of Numerators i.e. LCM of 623,735,697 is 45594255.

GCF of Denominators means GCF of 393,482,742 as per the given fractions.

GCF of 393,482,742 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 623,735,697

LCM of Fractions 623/393,735/482,697/742 is 45594255

7 623, 735, 697
89, 105, 697

∴ So the LCM of the given numbers is 7 x 89 x 105 x 697 = 45594255

Least Common Multiple of 623,735,697 with GCF Formula

Least Common Multiple of 623,735,697 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 623,735,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(623,735,697) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(623,735,697) x common factors =1 x 7 = 7

LCM(623,735,697) = ( 623 × 735 × 697 ) / 7

LCM(623,735,697) = 319159785 / 7

LCM(623,735,697) = 45594255


Lets's calculate GCF of 393,482,742

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45594255/1

Therefore the LCM of Fractions 623/393,735/482,697/742 is 45594255

Greatest Common Factor of 393,482,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 393,482,742 By Matching Biggest Common Factor Method

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 393,482,742 . The biggest common factor number is the GCF number.
So the greatest common factor 393,482,742 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 623/393, 735/482, 697/742

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 623/393, 735/482, 697/742?

Answer: LCM of Numerators as per given numbers 623/393, 735/482, 697/742 is

LCM of Numerators i.e. for 623,735,697 is 45594255

GCF of denominators i.e. for 393,482,742 is 1.

Thus, LCM of Fractions is 45594255.Finally, LCM of Fractions for 623/393, 735/482, 697/742 is 45594255.