Least Common Multiple of 14/449, 99/237, 705/337

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/449, 99/237, 705/337 quickly i.e. 325710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/449, 99/237, 705/337 is 325710.

LCM(14/449, 99/237, 705/337) = 325710

LCM of 14/449, 99/237, 705/337

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 14/449,99/237,705/337

Given numbers are 14/449,99/237,705/337

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 14,99,705

Least Common Multiple of Numerators i.e. LCM of 14,99,705 is 325710.

GCF of Denominators means GCF of 449,237,337 as per the given fractions.

GCF of 449,237,337 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,99,705

LCM of Fractions 14/449,99/237,705/337 is 325710

3 14, 99, 705
14, 33, 235

∴ So the LCM of the given numbers is 3 x 14 x 33 x 235 = 325710

Least Common Multiple of 14,99,705 with GCF Formula

Least Common Multiple of 14,99,705 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 14,99,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,99,705) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(14,99,705) x common factors =1 x 3 = 3

LCM(14,99,705) = ( 14 × 99 × 705 ) / 3

LCM(14,99,705) = 977130 / 3

LCM(14,99,705) = 325710


Lets's calculate GCF of 449,237,337

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 325710/1

Therefore the LCM of Fractions 14/449,99/237,705/337 is 325710

Greatest Common Factor of 449,237,337 By Matching Biggest Common Factor Method

Greatest Common Factor of 449,237,337 By Matching Biggest Common Factor Method

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Greatest Common Factor

We found the factors 449,237,337 . The biggest common factor number is the GCF number.
So the greatest common factor 449,237,337 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 14/449, 99/237, 705/337

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 14/449, 99/237, 705/337?

Answer: LCM of Numerators as per given numbers 14/449, 99/237, 705/337 is

LCM of Numerators i.e. for 14,99,705 is 325710

GCF of denominators i.e. for 449,237,337 is 1.

Thus, LCM of Fractions is 325710.Finally, LCM of Fractions for 14/449, 99/237, 705/337 is 325710.