Least Common Multiple of 14/834, 923/915, 525/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/834, 923/915, 525/318 quickly i.e. 323050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/834, 923/915, 525/318 is 323050.

LCM(14/834, 923/915, 525/318) = 323050

LCM of 14/834, 923/915, 525/318

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 14/834,923/915,525/318

Given numbers are 14/834,923/915,525/318

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 14,923,525

Least Common Multiple of Numerators i.e. LCM of 14,923,525 is 969150.

GCF of Denominators means GCF of 834,915,318 as per the given fractions.

GCF of 834,915,318 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,923,525

LCM of Fractions 14/834,923/915,525/318 is 323050

7 14, 923, 525
2, 923, 75

∴ So the LCM of the given numbers is 7 x 2 x 923 x 75 = 969150

Least Common Multiple of 14,923,525 with GCF Formula

Least Common Multiple of 14,923,525 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 14,923,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,923,525) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(14,923,525) x common factors =1 x 7 = 7

LCM(14,923,525) = ( 14 × 923 × 525 ) / 7

LCM(14,923,525) = 6784050 / 7

LCM(14,923,525) = 969150


Lets's calculate GCF of 834,915,318

3 834, 915, 318
278, 305, 106

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 969150/3

Therefore the LCM of Fractions 14/834,923/915,525/318 is 323050

Greatest Common Factor of 834,915,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 834,915,318 By Matching Biggest Common Factor Method

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 834,915,318 . The biggest common factor number is the GCF number.
So the greatest common factor 834,915,318 is 3.


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 14/834, 923/915, 525/318

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 14/834, 923/915, 525/318?

Answer: LCM of Numerators as per given numbers 14/834, 923/915, 525/318 is

LCM of Numerators i.e. for 14,923,525 is 969150

GCF of denominators i.e. for 834,915,318 is 3.

Thus, LCM of Fractions is 323050.Finally, LCM of Fractions for 14/834, 923/915, 525/318 is 323050.