Least Common Multiple of 415/349, 832/799, 273/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 415/349, 832/799, 273/388 quickly i.e. 7250880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 415/349, 832/799, 273/388 is 7250880.

LCM(415/349, 832/799, 273/388) = 7250880

LCM of 415/349, 832/799, 273/388

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 415/349,832/799,273/388

Given numbers are 415/349,832/799,273/388

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 415,832,273

Least Common Multiple of Numerators i.e. LCM of 415,832,273 is 7250880.

GCF of Denominators means GCF of 349,799,388 as per the given fractions.

GCF of 349,799,388 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 415,832,273

LCM of Fractions 415/349,832/799,273/388 is 7250880

13 415, 832, 273
415, 64, 21

∴ So the LCM of the given numbers is 13 x 415 x 64 x 21 = 7250880

Least Common Multiple of 415,832,273 with GCF Formula

Least Common Multiple of 415,832,273 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 415,832,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(415,832,273) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(415,832,273) x common factors =1 x 13 = 13

LCM(415,832,273) = ( 415 × 832 × 273 ) / 13

LCM(415,832,273) = 94261440 / 13

LCM(415,832,273) = 7250880


Lets's calculate GCF of 349,799,388

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7250880/1

Therefore the LCM of Fractions 415/349,832/799,273/388 is 7250880

Greatest Common Factor of 349,799,388 By Matching Biggest Common Factor Method

Greatest Common Factor of 349,799,388 By Matching Biggest Common Factor Method

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1,17,47,799

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Greatest Common Factor

We found the factors 349,799,388 . The biggest common factor number is the GCF number.
So the greatest common factor 349,799,388 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 415/349, 832/799, 273/388

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 415/349, 832/799, 273/388?

Answer: LCM of Numerators as per given numbers 415/349, 832/799, 273/388 is

LCM of Numerators i.e. for 415,832,273 is 7250880

GCF of denominators i.e. for 349,799,388 is 1.

Thus, LCM of Fractions is 7250880.Finally, LCM of Fractions for 415/349, 832/799, 273/388 is 7250880.