Least Common Multiple of 743/463, 562/692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 743/463, 562/692 quickly i.e. 417566 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 743/463, 562/692 is 417566.

LCM(743/463, 562/692) = 417566

LCM of 743/463, 562/692

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 743/463,562/692

Given numbers are 743/463,562/692

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 743,562

Least Common Multiple of Numerators i.e. LCM of 743,562 is 417566.

GCF of Denominators means GCF of 463,692 as per the given fractions.

GCF of 463,692 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 743,562

LCM of Fractions 743/463,562/692 is 417566

Given numbers has no common factors except 1. So, there LCM is their product i.e 417566

Least Common Multiple of 743,562 with GCF Formula

Least Common Multiple of 743,562 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 743,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,562) = 1

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

GCF(743,562) x common factors =1 x 1 = 1

LCM(743,562) = ( 743 × 562 ) / 1

LCM(743,562) = 417566 / 1

LCM(743,562) = 417566


Lets's calculate GCF of 463,692

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 417566/1

Therefore the LCM of Fractions 743/463,562/692 is 417566

Greatest Common Factor of 463,692 By Matching Biggest Common Factor Method

Greatest Common Factor of 463,692 By Matching Biggest Common Factor Method

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Greatest Common Factor

We found the factors 463,692 . The biggest common factor number is the GCF number.
So the greatest common factor 463,692 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 743/463, 562/692

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 743/463, 562/692?

Answer: LCM of Numerators as per given numbers 743/463, 562/692 is

LCM of Numerators i.e. for 743,562 is 417566

GCF of denominators i.e. for 463,692 is 1.

Thus, LCM of Fractions is 417566.Finally, LCM of Fractions for 743/463, 562/692 is 417566.