Least Common Multiple of 615/25, 255/13, 775/34

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 615/25, 255/13, 775/34 quickly i.e. 1620525 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 615/25, 255/13, 775/34 is 1620525.

LCM(615/25, 255/13, 775/34) = 1620525

LCM of 615/25, 255/13, 775/34

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 615/25,255/13,775/34

Given numbers are 615/25,255/13,775/34

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 615,255,775

Least Common Multiple of Numerators i.e. LCM of 615,255,775 is 1620525.

GCF of Denominators means GCF of 25,13,34 as per the given fractions.

GCF of 25,13,34 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 615,255,775

LCM of Fractions 615/25,255/13,775/34 is 1620525

3 615, 255, 775
5 205, 85, 775
41, 17, 155

∴ So the LCM of the given numbers is 3 x 5 x 41 x 17 x 155 = 1620525

Least Common Multiple of 615,255,775 with GCF Formula

Least Common Multiple of 615,255,775 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 615,255,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(615,255,775) = 5

common factors(in case of two or more numbers have common factors) = 15

GCF(615,255,775) x common factors =5 x 15 = 75

LCM(615,255,775) = ( 615 × 255 × 775 ) / 75

LCM(615,255,775) = 121539375 / 75

LCM(615,255,775) = 1620525


Lets's calculate GCF of 25,13,34

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1620525/1

Therefore the LCM of Fractions 615/25,255/13,775/34 is 1620525

Greatest Common Factor of 25,13,34 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,13,34 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 13

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

1,13

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Greatest Common Factor

We found the factors 25,13,34 . The biggest common factor number is the GCF number.
So the greatest common factor 25,13,34 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 615/25, 255/13, 775/34

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 615/25, 255/13, 775/34?

Answer: LCM of Numerators as per given numbers 615/25, 255/13, 775/34 is

LCM of Numerators i.e. for 615,255,775 is 1620525

GCF of denominators i.e. for 25,13,34 is 1.

Thus, LCM of Fractions is 1620525.Finally, LCM of Fractions for 615/25, 255/13, 775/34 is 1620525.