Least Common Multiple of 34/302, 68/446, 254/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/302, 68/446, 254/338 quickly i.e. 4318 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/302, 68/446, 254/338 is 4318.

LCM(34/302, 68/446, 254/338) = 4318

LCM of 34/302, 68/446, 254/338

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 34/302,68/446,254/338

Given numbers are 34/302,68/446,254/338

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 34,68,254

Least Common Multiple of Numerators i.e. LCM of 34,68,254 is 8636.

GCF of Denominators means GCF of 302,446,338 as per the given fractions.

GCF of 302,446,338 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,68,254

LCM of Fractions 34/302,68/446,254/338 is 4318

2 34, 68, 254
17 17, 34, 127
1, 2, 127

∴ So the LCM of the given numbers is 2 x 17 x 1 x 2 x 127 = 8636

Least Common Multiple of 34,68,254 with GCF Formula

Least Common Multiple of 34,68,254 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 34,68,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,68,254) = 2

common factors(in case of two or more numbers have common factors) = 34

GCF(34,68,254) x common factors =2 x 34 = 68

LCM(34,68,254) = ( 34 × 68 × 254 ) / 68

LCM(34,68,254) = 587248 / 68

LCM(34,68,254) = 8636


Lets's calculate GCF of 302,446,338

2 302, 446, 338
151, 223, 169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8636/2

Therefore the LCM of Fractions 34/302,68/446,254/338 is 4318

Greatest Common Factor of 302,446,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 302,446,338 By Matching Biggest Common Factor Method

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 302,446,338 . The biggest common factor number is the GCF number.
So the greatest common factor 302,446,338 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 34/302, 68/446, 254/338

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 34/302, 68/446, 254/338?

Answer: LCM of Numerators as per given numbers 34/302, 68/446, 254/338 is

LCM of Numerators i.e. for 34,68,254 is 8636

GCF of denominators i.e. for 302,446,338 is 2.

Thus, LCM of Fractions is 4318.Finally, LCM of Fractions for 34/302, 68/446, 254/338 is 4318.