Least Common Multiple of 422/64, 349/9975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 422/64, 349/9975 quickly i.e. 147278 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 422/64, 349/9975 is 147278.

LCM(422/64, 349/9975) = 147278

LCM of 422/64, 349/9975

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 422/64,349/9975

Given numbers are 422/64,349/9975

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 422,349

Least Common Multiple of Numerators i.e. LCM of 422,349 is 147278.

GCF of Denominators means GCF of 64,9975 as per the given fractions.

GCF of 64,9975 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 422,349

LCM of Fractions 422/64,349/9975 is 147278

Given numbers has no common factors except 1. So, there LCM is their product i.e 147278

Least Common Multiple of 422,349 with GCF Formula

Least Common Multiple of 422,349 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 422,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,349) = 1

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

GCF(422,349) x common factors =1 x 1 = 1

LCM(422,349) = ( 422 × 349 ) / 1

LCM(422,349) = 147278 / 1

LCM(422,349) = 147278


Lets's calculate GCF of 64,9975

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 147278/1

Therefore the LCM of Fractions 422/64,349/9975 is 147278

Greatest Common Factor of 64,9975 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,9975 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 9975

List of positive integer factors of 9975 that divides 9975 without a remainder.

1,3,5,7,15,19,21,25,35,57,75,95,105,133,175,285,399,475,525,665,1425,1995,3325,9975

Greatest Common Factor

We found the factors 64,9975 . The biggest common factor number is the GCF number.
So the greatest common factor 64,9975 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 422/64, 349/9975

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 422/64, 349/9975?

Answer: LCM of Numerators as per given numbers 422/64, 349/9975 is

LCM of Numerators i.e. for 422,349 is 147278

GCF of denominators i.e. for 64,9975 is 1.

Thus, LCM of Fractions is 147278.Finally, LCM of Fractions for 422/64, 349/9975 is 147278.