Least Common Multiple of 34/17, 23/96, 44/23, 45/769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/17, 23/96, 44/23, 45/769 quickly i.e. 774180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/17, 23/96, 44/23, 45/769 is 774180.

LCM(34/17, 23/96, 44/23, 45/769) = 774180

LCM of 34/17, 23/96, 44/23, 45/769

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 34/17,23/96,44/23,45/769

Given numbers are 34/17,23/96,44/23,45/769

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 34,23,44,45

Least Common Multiple of Numerators i.e. LCM of 34,23,44,45 is 774180.

GCF of Denominators means GCF of 17,96,23,769 as per the given fractions.

GCF of 17,96,23,769 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,23,44,45

LCM of Fractions 34/17,23/96,44/23,45/769 is 774180

2 34, 23, 44, 45
17, 23, 22, 45

∴ So the LCM of the given numbers is 2 x 17 x 23 x 22 x 45 = 774180

Least Common Multiple of 34,23,44,45 with GCF Formula

Least Common Multiple of 34,23,44,45 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 34,23,44,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,23,44,45) = 1

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

GCF(34,23,44,45) x common factors =1 x 2 = 2

LCM(34,23,44,45) = ( 34 × 23 × 44 × 45 ) / 2

LCM(34,23,44,45) = 1548360 / 2

LCM(34,23,44,45) = 774180


Lets's calculate GCF of 17,96,23,769

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 774180/1

Therefore the LCM of Fractions 34/17,23/96,44/23,45/769 is 774180

Greatest Common Factor of 17,96,23,769 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,96,23,769 By Matching Biggest Common Factor Method

Factors of 17

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

1,17

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Greatest Common Factor

We found the factors 17,96,23,769 . The biggest common factor number is the GCF number.
So the greatest common factor 17,96,23,769 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 34/17, 23/96, 44/23, 45/769

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 34/17, 23/96, 44/23, 45/769?

Answer: LCM of Numerators as per given numbers 34/17, 23/96, 44/23, 45/769 is

LCM of Numerators i.e. for 34,23,44,45 is 774180

GCF of denominators i.e. for 17,96,23,769 is 1.

Thus, LCM of Fractions is 774180.Finally, LCM of Fractions for 34/17, 23/96, 44/23, 45/769 is 774180.