Least Common Multiple of 301/649, 319/221, 388/277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 301/649, 319/221, 388/277 quickly i.e. 37255372 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 301/649, 319/221, 388/277 is 37255372.

LCM(301/649, 319/221, 388/277) = 37255372

LCM of 301/649, 319/221, 388/277

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 301/649,319/221,388/277

Given numbers are 301/649,319/221,388/277

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 301,319,388

Least Common Multiple of Numerators i.e. LCM of 301,319,388 is 37255372.

GCF of Denominators means GCF of 649,221,277 as per the given fractions.

GCF of 649,221,277 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 301,319,388

LCM of Fractions 301/649,319/221,388/277 is 37255372

Given numbers has no common factors except 1. So, there LCM is their product i.e 37255372

Least Common Multiple of 301,319,388 with GCF Formula

Least Common Multiple of 301,319,388 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 301,319,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(301,319,388) = 1

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

GCF(301,319,388) x common factors =1 x 1 = 1

LCM(301,319,388) = ( 301 × 319 × 388 ) / 1

LCM(301,319,388) = 37255372 / 1

LCM(301,319,388) = 37255372


Lets's calculate GCF of 649,221,277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37255372/1

Therefore the LCM of Fractions 301/649,319/221,388/277 is 37255372

Greatest Common Factor of 649,221,277 By Matching Biggest Common Factor Method

Greatest Common Factor of 649,221,277 By Matching Biggest Common Factor Method

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Greatest Common Factor

We found the factors 649,221,277 . The biggest common factor number is the GCF number.
So the greatest common factor 649,221,277 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 301/649, 319/221, 388/277

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 301/649, 319/221, 388/277?

Answer: LCM of Numerators as per given numbers 301/649, 319/221, 388/277 is

LCM of Numerators i.e. for 301,319,388 is 37255372

GCF of denominators i.e. for 649,221,277 is 1.

Thus, LCM of Fractions is 37255372.Finally, LCM of Fractions for 301/649, 319/221, 388/277 is 37255372.