Least Common Multiple of 617/13, 689/55, 314/285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 617/13, 689/55, 314/285 quickly i.e. 133485482 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 617/13, 689/55, 314/285 is 133485482.

LCM(617/13, 689/55, 314/285) = 133485482

LCM of 617/13, 689/55, 314/285

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 617/13,689/55,314/285

Given numbers are 617/13,689/55,314/285

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 617,689,314

Least Common Multiple of Numerators i.e. LCM of 617,689,314 is 133485482.

GCF of Denominators means GCF of 13,55,285 as per the given fractions.

GCF of 13,55,285 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 617,689,314

LCM of Fractions 617/13,689/55,314/285 is 133485482

Given numbers has no common factors except 1. So, there LCM is their product i.e 133485482

Least Common Multiple of 617,689,314 with GCF Formula

Least Common Multiple of 617,689,314 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 617,689,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(617,689,314) = 1

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

GCF(617,689,314) x common factors =1 x 1 = 1

LCM(617,689,314) = ( 617 × 689 × 314 ) / 1

LCM(617,689,314) = 133485482 / 1

LCM(617,689,314) = 133485482


Lets's calculate GCF of 13,55,285

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 133485482/1

Therefore the LCM of Fractions 617/13,689/55,314/285 is 133485482

Greatest Common Factor of 13,55,285 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,55,285 By Matching Biggest Common Factor Method

Factors of 13

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

1,13

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Greatest Common Factor

We found the factors 13,55,285 . The biggest common factor number is the GCF number.
So the greatest common factor 13,55,285 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 617/13, 689/55, 314/285

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 617/13, 689/55, 314/285?

Answer: LCM of Numerators as per given numbers 617/13, 689/55, 314/285 is

LCM of Numerators i.e. for 617,689,314 is 133485482

GCF of denominators i.e. for 13,55,285 is 1.

Thus, LCM of Fractions is 133485482.Finally, LCM of Fractions for 617/13, 689/55, 314/285 is 133485482.