Least Common Multiple of 68/19, 86/17, 923/247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/19, 86/17, 923/247 quickly i.e. 2698852 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/19, 86/17, 923/247 is 2698852.

LCM(68/19, 86/17, 923/247) = 2698852

LCM of 68/19, 86/17, 923/247

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 68/19,86/17,923/247

Given numbers are 68/19,86/17,923/247

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 68,86,923

Least Common Multiple of Numerators i.e. LCM of 68,86,923 is 2698852.

GCF of Denominators means GCF of 19,17,247 as per the given fractions.

GCF of 19,17,247 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,86,923

LCM of Fractions 68/19,86/17,923/247 is 2698852

2 68, 86, 923
34, 43, 923

∴ So the LCM of the given numbers is 2 x 34 x 43 x 923 = 2698852

Least Common Multiple of 68,86,923 with GCF Formula

Least Common Multiple of 68,86,923 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 68,86,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,86,923) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(68,86,923) x common factors =1 x 2 = 2

LCM(68,86,923) = ( 68 × 86 × 923 ) / 2

LCM(68,86,923) = 5397704 / 2

LCM(68,86,923) = 2698852


Lets's calculate GCF of 19,17,247

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2698852/1

Therefore the LCM of Fractions 68/19,86/17,923/247 is 2698852

Greatest Common Factor of 19,17,247 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,17,247 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Greatest Common Factor

We found the factors 19,17,247 . The biggest common factor number is the GCF number.
So the greatest common factor 19,17,247 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 68/19, 86/17, 923/247

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 68/19, 86/17, 923/247?

Answer: LCM of Numerators as per given numbers 68/19, 86/17, 923/247 is

LCM of Numerators i.e. for 68,86,923 is 2698852

GCF of denominators i.e. for 19,17,247 is 1.

Thus, LCM of Fractions is 2698852.Finally, LCM of Fractions for 68/19, 86/17, 923/247 is 2698852.