Least Common Multiple of 49/615, 82/623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 49/615, 82/623 quickly i.e. 4018 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/615, 82/623 is 4018.

LCM(49/615, 82/623) = 4018

LCM of 49/615, 82/623

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 49/615,82/623

Given numbers are 49/615,82/623

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 49,82

Least Common Multiple of Numerators i.e. LCM of 49,82 is 4018.

GCF of Denominators means GCF of 615,623 as per the given fractions.

GCF of 615,623 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,82

LCM of Fractions 49/615,82/623 is 4018

Given numbers has no common factors except 1. So, there LCM is their product i.e 4018

Least Common Multiple of 49,82 with GCF Formula

Least Common Multiple of 49,82 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 49,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,82) = 1

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

GCF(49,82) x common factors =1 x 1 = 1

LCM(49,82) = ( 49 × 82 ) / 1

LCM(49,82) = 4018 / 1

LCM(49,82) = 4018


Lets's calculate GCF of 615,623

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4018/1

Therefore the LCM of Fractions 49/615,82/623 is 4018

Greatest Common Factor of 615,623 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,623 By Matching Biggest Common Factor Method

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Greatest Common Factor

We found the factors 615,623 . The biggest common factor number is the GCF number.
So the greatest common factor 615,623 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 49/615, 82/623

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 49/615, 82/623?

Answer: LCM of Numerators as per given numbers 49/615, 82/623 is

LCM of Numerators i.e. for 49,82 is 4018

GCF of denominators i.e. for 615,623 is 1.

Thus, LCM of Fractions is 4018.Finally, LCM of Fractions for 49/615, 82/623 is 4018.