Least Common Multiple of 34/14, 23/86, 851/928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/14, 23/86, 851/928 quickly i.e. 14467 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/14, 23/86, 851/928 is 14467.

LCM(34/14, 23/86, 851/928) = 14467

LCM of 34/14, 23/86, 851/928

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 34/14,23/86,851/928

Given numbers are 34/14,23/86,851/928

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 34,23,851

Least Common Multiple of Numerators i.e. LCM of 34,23,851 is 28934.

GCF of Denominators means GCF of 14,86,928 as per the given fractions.

GCF of 14,86,928 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,23,851

LCM of Fractions 34/14,23/86,851/928 is 14467

23 34, 23, 851
34, 1, 37

∴ So the LCM of the given numbers is 23 x 34 x 1 x 37 = 28934

Least Common Multiple of 34,23,851 with GCF Formula

Least Common Multiple of 34,23,851 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 34,23,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,23,851) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(34,23,851) x common factors =1 x 23 = 23

LCM(34,23,851) = ( 34 × 23 × 851 ) / 23

LCM(34,23,851) = 665482 / 23

LCM(34,23,851) = 28934


Lets's calculate GCF of 14,86,928

2 14, 86, 928
7, 43, 464

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28934/2

Therefore the LCM of Fractions 34/14,23/86,851/928 is 14467

Greatest Common Factor of 14,86,928 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,86,928 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Greatest Common Factor

We found the factors 14,86,928 . The biggest common factor number is the GCF number.
So the greatest common factor 14,86,928 is 2.


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 34/14, 23/86, 851/928

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 34/14, 23/86, 851/928?

Answer: LCM of Numerators as per given numbers 34/14, 23/86, 851/928 is

LCM of Numerators i.e. for 34,23,851 is 28934

GCF of denominators i.e. for 14,86,928 is 2.

Thus, LCM of Fractions is 14467.Finally, LCM of Fractions for 34/14, 23/86, 851/928 is 14467.