Least Common Multiple of 345/14, 534/3408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 345/14, 534/3408 quickly i.e. 30705 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 345/14, 534/3408 is 30705.

LCM(345/14, 534/3408) = 30705

LCM of 345/14, 534/3408

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 345/14,534/3408

Given numbers are 345/14,534/3408

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 345,534

Least Common Multiple of Numerators i.e. LCM of 345,534 is 61410.

GCF of Denominators means GCF of 14,3408 as per the given fractions.

GCF of 14,3408 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 345,534

LCM of Fractions 345/14,534/3408 is 30705

3 345, 534
115, 178

∴ So the LCM of the given numbers is 3 x 115 x 178 = 61410

Least Common Multiple of 345,534 with GCF Formula

Least Common Multiple of 345,534 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 345,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,534) = 3

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

GCF(345,534) x common factors =3 x 1 = 3

LCM(345,534) = ( 345 × 534 ) / 3

LCM(345,534) = 184230 / 3

LCM(345,534) = 61410


Lets's calculate GCF of 14,3408

2 14, 3408
7, 1704

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61410/2

Therefore the LCM of Fractions 345/14,534/3408 is 30705

Greatest Common Factor of 14,3408 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,3408 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 3408

List of positive integer factors of 3408 that divides 3408 without a remainder.

1,2,3,4,6,8,12,16,24,48,71,142,213,284,426,568,852,1136,1704,3408

Greatest Common Factor

We found the factors 14,3408 . The biggest common factor number is the GCF number.
So the greatest common factor 14,3408 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 345/14, 534/3408

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 345/14, 534/3408?

Answer: LCM of Numerators as per given numbers 345/14, 534/3408 is

LCM of Numerators i.e. for 345,534 is 61410

GCF of denominators i.e. for 14,3408 is 2.

Thus, LCM of Fractions is 30705.Finally, LCM of Fractions for 345/14, 534/3408 is 30705.