Least Common Multiple of 14/703, 648/33, 300/215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/703, 648/33, 300/215 quickly i.e. 113400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/703, 648/33, 300/215 is 113400.

LCM(14/703, 648/33, 300/215) = 113400

LCM of 14/703, 648/33, 300/215

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 14/703,648/33,300/215

Given numbers are 14/703,648/33,300/215

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 14,648,300

Least Common Multiple of Numerators i.e. LCM of 14,648,300 is 113400.

GCF of Denominators means GCF of 703,33,215 as per the given fractions.

GCF of 703,33,215 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,648,300

LCM of Fractions 14/703,648/33,300/215 is 113400

2 14, 648, 300
2 7, 324, 150
3 7, 162, 75
7, 54, 25

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 54 x 25 = 113400

Least Common Multiple of 14,648,300 with GCF Formula

Least Common Multiple of 14,648,300 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 14,648,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,648,300) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(14,648,300) x common factors =2 x 12 = 24

LCM(14,648,300) = ( 14 × 648 × 300 ) / 24

LCM(14,648,300) = 2721600 / 24

LCM(14,648,300) = 113400


Lets's calculate GCF of 703,33,215

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113400/1

Therefore the LCM of Fractions 14/703,648/33,300/215 is 113400

Greatest Common Factor of 703,33,215 By Matching Biggest Common Factor Method

Greatest Common Factor of 703,33,215 By Matching Biggest Common Factor Method

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Greatest Common Factor

We found the factors 703,33,215 . The biggest common factor number is the GCF number.
So the greatest common factor 703,33,215 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 14/703, 648/33, 300/215

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 14/703, 648/33, 300/215?

Answer: LCM of Numerators as per given numbers 14/703, 648/33, 300/215 is

LCM of Numerators i.e. for 14,648,300 is 113400

GCF of denominators i.e. for 703,33,215 is 1.

Thus, LCM of Fractions is 113400.Finally, LCM of Fractions for 14/703, 648/33, 300/215 is 113400.