Least Common Multiple of 34/743, 28/347, 208/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/743, 28/347, 208/149 quickly i.e. 24752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/743, 28/347, 208/149 is 24752.

LCM(34/743, 28/347, 208/149) = 24752

LCM of 34/743, 28/347, 208/149

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 34/743,28/347,208/149

Given numbers are 34/743,28/347,208/149

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 34,28,208

Least Common Multiple of Numerators i.e. LCM of 34,28,208 is 24752.

GCF of Denominators means GCF of 743,347,149 as per the given fractions.

GCF of 743,347,149 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,28,208

LCM of Fractions 34/743,28/347,208/149 is 24752

2 34, 28, 208
2 17, 14, 104
17, 7, 52

∴ So the LCM of the given numbers is 2 x 2 x 17 x 7 x 52 = 24752

Least Common Multiple of 34,28,208 with GCF Formula

Least Common Multiple of 34,28,208 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 34,28,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,28,208) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(34,28,208) x common factors =2 x 4 = 8

LCM(34,28,208) = ( 34 × 28 × 208 ) / 8

LCM(34,28,208) = 198016 / 8

LCM(34,28,208) = 24752


Lets's calculate GCF of 743,347,149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24752/1

Therefore the LCM of Fractions 34/743,28/347,208/149 is 24752

Greatest Common Factor of 743,347,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 743,347,149 By Matching Biggest Common Factor Method

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 743,347,149 . The biggest common factor number is the GCF number.
So the greatest common factor 743,347,149 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 34/743, 28/347, 208/149

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 34/743, 28/347, 208/149?

Answer: LCM of Numerators as per given numbers 34/743, 28/347, 208/149 is

LCM of Numerators i.e. for 34,28,208 is 24752

GCF of denominators i.e. for 743,347,149 is 1.

Thus, LCM of Fractions is 24752.Finally, LCM of Fractions for 34/743, 28/347, 208/149 is 24752.