Least Common Multiple of 49/422, 15/808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/422, 15/808 quickly i.e. 735/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/422, 15/808 is 735/2.

LCM(49/422, 15/808) = 735/2

LCM of 49/422, 15/808

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 49/422,15/808

Given numbers are 49/422,15/808

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 49,15

Least Common Multiple of Numerators i.e. LCM of 49,15 is 735.

GCF of Denominators means GCF of 422,808 as per the given fractions.

GCF of 422,808 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,15

LCM of Fractions 49/422,15/808 is 735/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 735

Least Common Multiple of 49,15 with GCF Formula

Least Common Multiple of 49,15 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 49,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,15) = 1

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

GCF(49,15) x common factors =1 x 1 = 1

LCM(49,15) = ( 49 × 15 ) / 1

LCM(49,15) = 735 / 1

LCM(49,15) = 735


Lets's calculate GCF of 422,808

2 422, 808
211, 404

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 735/2

Therefore the LCM of Fractions 49/422,15/808 is 735/2

Greatest Common Factor of 422,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,808 By Matching Biggest Common Factor Method

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Greatest Common Factor

We found the factors 422,808 . The biggest common factor number is the GCF number.
So the greatest common factor 422,808 is 2.


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 49/422, 15/808

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 49/422, 15/808?

Answer: LCM of Numerators as per given numbers 49/422, 15/808 is

LCM of Numerators i.e. for 49,15 is 735

GCF of denominators i.e. for 422,808 is 2.

Thus, LCM of Fractions is 735/2.Finally, LCM of Fractions for 49/422, 15/808 is 735/2.