Least Common Multiple of 53/563, 3123/3785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/563, 3123/3785 quickly i.e. 165519 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/563, 3123/3785 is 165519.

LCM(53/563, 3123/3785) = 165519

LCM of 53/563, 3123/3785

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 53/563,3123/3785

Given numbers are 53/563,3123/3785

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 53,3123

Least Common Multiple of Numerators i.e. LCM of 53,3123 is 165519.

GCF of Denominators means GCF of 563,3785 as per the given fractions.

GCF of 563,3785 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,3123

LCM of Fractions 53/563,3123/3785 is 165519

Given numbers has no common factors except 1. So, there LCM is their product i.e 165519

Least Common Multiple of 53,3123 with GCF Formula

Least Common Multiple of 53,3123 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 53,3123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,3123) = 1

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

GCF(53,3123) x common factors =1 x 1 = 1

LCM(53,3123) = ( 53 × 3123 ) / 1

LCM(53,3123) = 165519 / 1

LCM(53,3123) = 165519


Lets's calculate GCF of 563,3785

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 165519/1

Therefore the LCM of Fractions 53/563,3123/3785 is 165519

Greatest Common Factor of 563,3785 By Matching Biggest Common Factor Method

Greatest Common Factor of 563,3785 By Matching Biggest Common Factor Method

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Factors of 3785

List of positive integer factors of 3785 that divides 3785 without a remainder.

1,5,757,3785

Greatest Common Factor

We found the factors 563,3785 . The biggest common factor number is the GCF number.
So the greatest common factor 563,3785 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 53/563, 3123/3785

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 53/563, 3123/3785?

Answer: LCM of Numerators as per given numbers 53/563, 3123/3785 is

LCM of Numerators i.e. for 53,3123 is 165519

GCF of denominators i.e. for 563,3785 is 1.

Thus, LCM of Fractions is 165519.Finally, LCM of Fractions for 53/563, 3123/3785 is 165519.