Least Common Multiple of 349/85, 725/13, 107/283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 349/85, 725/13, 107/283 quickly i.e. 27073675 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 349/85, 725/13, 107/283 is 27073675.

LCM(349/85, 725/13, 107/283) = 27073675

LCM of 349/85, 725/13, 107/283

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 349/85,725/13,107/283

Given numbers are 349/85,725/13,107/283

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 349,725,107

Least Common Multiple of Numerators i.e. LCM of 349,725,107 is 27073675.

GCF of Denominators means GCF of 85,13,283 as per the given fractions.

GCF of 85,13,283 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 349,725,107

LCM of Fractions 349/85,725/13,107/283 is 27073675

Given numbers has no common factors except 1. So, there LCM is their product i.e 27073675

Least Common Multiple of 349,725,107 with GCF Formula

Least Common Multiple of 349,725,107 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 349,725,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(349,725,107) = 1

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

GCF(349,725,107) x common factors =1 x 1 = 1

LCM(349,725,107) = ( 349 × 725 × 107 ) / 1

LCM(349,725,107) = 27073675 / 1

LCM(349,725,107) = 27073675


Lets's calculate GCF of 85,13,283

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27073675/1

Therefore the LCM of Fractions 349/85,725/13,107/283 is 27073675

Greatest Common Factor of 85,13,283 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,13,283 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Greatest Common Factor

We found the factors 85,13,283 . The biggest common factor number is the GCF number.
So the greatest common factor 85,13,283 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 349/85, 725/13, 107/283

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 349/85, 725/13, 107/283?

Answer: LCM of Numerators as per given numbers 349/85, 725/13, 107/283 is

LCM of Numerators i.e. for 349,725,107 is 27073675

GCF of denominators i.e. for 85,13,283 is 1.

Thus, LCM of Fractions is 27073675.Finally, LCM of Fractions for 349/85, 725/13, 107/283 is 27073675.