Least Common Multiple of 34/602, 16/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/602, 16/224 quickly i.e. 272/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/602, 16/224 is 272/14.

LCM(34/602, 16/224) = 272/14

LCM of 34/602, 16/224

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 34/602,16/224

Given numbers are 34/602,16/224

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 34,16

Least Common Multiple of Numerators i.e. LCM of 34,16 is 272.

GCF of Denominators means GCF of 602,224 as per the given fractions.

GCF of 602,224 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,16

LCM of Fractions 34/602,16/224 is 272/14

2 34, 16
17, 8

∴ So the LCM of the given numbers is 2 x 17 x 8 = 272

Least Common Multiple of 34,16 with GCF Formula

Least Common Multiple of 34,16 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 34,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,16) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(34,16) x common factors =2 x 1 = 2

LCM(34,16) = ( 34 × 16 ) / 2

LCM(34,16) = 544 / 2

LCM(34,16) = 272


Lets's calculate GCF of 602,224

2 602, 224
7 301, 112
43, 16

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 272/14

Therefore the LCM of Fractions 34/602,16/224 is 272/14

Greatest Common Factor of 602,224 By Matching Biggest Common Factor Method

Greatest Common Factor of 602,224 By Matching Biggest Common Factor Method

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Greatest Common Factor

We found the factors 602,224 . The biggest common factor number is the GCF number.
So the greatest common factor 602,224 is 14.


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 34/602, 16/224

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 34/602, 16/224?

Answer: LCM of Numerators as per given numbers 34/602, 16/224 is

LCM of Numerators i.e. for 34,16 is 272

GCF of denominators i.e. for 602,224 is 14.

Thus, LCM of Fractions is 272/14.Finally, LCM of Fractions for 34/602, 16/224 is 272/14.