Least Common Multiple of 3349/275, 6986/1459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3349/275, 6986/1459 quickly i.e. 23396114 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3349/275, 6986/1459 is 23396114.

LCM(3349/275, 6986/1459) = 23396114

LCM of 3349/275, 6986/1459

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 3349/275,6986/1459

Given numbers are 3349/275,6986/1459

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 3349,6986

Least Common Multiple of Numerators i.e. LCM of 3349,6986 is 23396114.

GCF of Denominators means GCF of 275,1459 as per the given fractions.

GCF of 275,1459 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3349,6986

LCM of Fractions 3349/275,6986/1459 is 23396114

Given numbers has no common factors except 1. So, there LCM is their product i.e 23396114

Least Common Multiple of 3349,6986 with GCF Formula

Least Common Multiple of 3349,6986 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 3349,6986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3349,6986) = 1

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

GCF(3349,6986) x common factors =1 x 1 = 1

LCM(3349,6986) = ( 3349 × 6986 ) / 1

LCM(3349,6986) = 23396114 / 1

LCM(3349,6986) = 23396114


Lets's calculate GCF of 275,1459

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23396114/1

Therefore the LCM of Fractions 3349/275,6986/1459 is 23396114

Greatest Common Factor of 275,1459 By Matching Biggest Common Factor Method

Greatest Common Factor of 275,1459 By Matching Biggest Common Factor Method

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Factors of 1459

List of positive integer factors of 1459 that divides 1459 without a remainder.

1,1459

Greatest Common Factor

We found the factors 275,1459 . The biggest common factor number is the GCF number.
So the greatest common factor 275,1459 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 3349/275, 6986/1459

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 3349/275, 6986/1459?

Answer: LCM of Numerators as per given numbers 3349/275, 6986/1459 is

LCM of Numerators i.e. for 3349,6986 is 23396114

GCF of denominators i.e. for 275,1459 is 1.

Thus, LCM of Fractions is 23396114.Finally, LCM of Fractions for 3349/275, 6986/1459 is 23396114.