Least Common Multiple of 348/65, 514/6349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 348/65, 514/6349 quickly i.e. 89436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 348/65, 514/6349 is 89436.

LCM(348/65, 514/6349) = 89436

LCM of 348/65, 514/6349

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 348/65,514/6349

Given numbers are 348/65,514/6349

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 348,514

Least Common Multiple of Numerators i.e. LCM of 348,514 is 89436.

GCF of Denominators means GCF of 65,6349 as per the given fractions.

GCF of 65,6349 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 348,514

LCM of Fractions 348/65,514/6349 is 89436

2 348, 514
174, 257

∴ So the LCM of the given numbers is 2 x 174 x 257 = 89436

Least Common Multiple of 348,514 with GCF Formula

Least Common Multiple of 348,514 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 348,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,514) = 2

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

GCF(348,514) x common factors =2 x 1 = 2

LCM(348,514) = ( 348 × 514 ) / 2

LCM(348,514) = 178872 / 2

LCM(348,514) = 89436


Lets's calculate GCF of 65,6349

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89436/1

Therefore the LCM of Fractions 348/65,514/6349 is 89436

Greatest Common Factor of 65,6349 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,6349 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 6349

List of positive integer factors of 6349 that divides 6349 without a remainder.

1,7,907,6349

Greatest Common Factor

We found the factors 65,6349 . The biggest common factor number is the GCF number.
So the greatest common factor 65,6349 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 348/65, 514/6349

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 348/65, 514/6349?

Answer: LCM of Numerators as per given numbers 348/65, 514/6349 is

LCM of Numerators i.e. for 348,514 is 89436

GCF of denominators i.e. for 65,6349 is 1.

Thus, LCM of Fractions is 89436.Finally, LCM of Fractions for 348/65, 514/6349 is 89436.