Least Common Multiple of 45/682, 53/473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/682, 53/473 quickly i.e. 2385/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/682, 53/473 is 2385/11.

LCM(45/682, 53/473) = 2385/11

LCM of 45/682, 53/473

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 45/682,53/473

Given numbers are 45/682,53/473

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 45,53

Least Common Multiple of Numerators i.e. LCM of 45,53 is 2385.

GCF of Denominators means GCF of 682,473 as per the given fractions.

GCF of 682,473 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,53

LCM of Fractions 45/682,53/473 is 2385/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 2385

Least Common Multiple of 45,53 with GCF Formula

Least Common Multiple of 45,53 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 45,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,53) = 1

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

GCF(45,53) x common factors =1 x 1 = 1

LCM(45,53) = ( 45 × 53 ) / 1

LCM(45,53) = 2385 / 1

LCM(45,53) = 2385


Lets's calculate GCF of 682,473

11 682, 473
62, 43

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2385/11

Therefore the LCM of Fractions 45/682,53/473 is 2385/11

Greatest Common Factor of 682,473 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,473 By Matching Biggest Common Factor Method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Greatest Common Factor

We found the factors 682,473 . The biggest common factor number is the GCF number.
So the greatest common factor 682,473 is 11.


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 45/682, 53/473

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 45/682, 53/473?

Answer: LCM of Numerators as per given numbers 45/682, 53/473 is

LCM of Numerators i.e. for 45,53 is 2385

GCF of denominators i.e. for 682,473 is 11.

Thus, LCM of Fractions is 2385/11.Finally, LCM of Fractions for 45/682, 53/473 is 2385/11.