Least Common Multiple of 49/723, 5565/3089

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/723, 5565/3089 quickly i.e. 38955 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/723, 5565/3089 is 38955.

LCM(49/723, 5565/3089) = 38955

LCM of 49/723, 5565/3089

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 49/723,5565/3089

Given numbers are 49/723,5565/3089

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 49,5565

Least Common Multiple of Numerators i.e. LCM of 49,5565 is 38955.

GCF of Denominators means GCF of 723,3089 as per the given fractions.

GCF of 723,3089 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,5565

LCM of Fractions 49/723,5565/3089 is 38955

7 49, 5565
7, 795

∴ So the LCM of the given numbers is 7 x 7 x 795 = 38955

Least Common Multiple of 49,5565 with GCF Formula

Least Common Multiple of 49,5565 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 49,5565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,5565) = 7

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

GCF(49,5565) x common factors =7 x 1 = 7

LCM(49,5565) = ( 49 × 5565 ) / 7

LCM(49,5565) = 272685 / 7

LCM(49,5565) = 38955


Lets's calculate GCF of 723,3089

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38955/1

Therefore the LCM of Fractions 49/723,5565/3089 is 38955

Greatest Common Factor of 723,3089 By Matching Biggest Common Factor Method

Greatest Common Factor of 723,3089 By Matching Biggest Common Factor Method

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 3089

List of positive integer factors of 3089 that divides 3089 without a remainder.

1,3089

Greatest Common Factor

We found the factors 723,3089 . The biggest common factor number is the GCF number.
So the greatest common factor 723,3089 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 49/723, 5565/3089

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 49/723, 5565/3089?

Answer: LCM of Numerators as per given numbers 49/723, 5565/3089 is

LCM of Numerators i.e. for 49,5565 is 38955

GCF of denominators i.e. for 723,3089 is 1.

Thus, LCM of Fractions is 38955.Finally, LCM of Fractions for 49/723, 5565/3089 is 38955.