Least Common Multiple of 505/15, 767/77, 155/269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 505/15, 767/77, 155/269 quickly i.e. 12007385 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 505/15, 767/77, 155/269 is 12007385.

LCM(505/15, 767/77, 155/269) = 12007385

LCM of 505/15, 767/77, 155/269

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 505/15,767/77,155/269

Given numbers are 505/15,767/77,155/269

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 505,767,155

Least Common Multiple of Numerators i.e. LCM of 505,767,155 is 12007385.

GCF of Denominators means GCF of 15,77,269 as per the given fractions.

GCF of 15,77,269 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 505,767,155

LCM of Fractions 505/15,767/77,155/269 is 12007385

5 505, 767, 155
101, 767, 31

∴ So the LCM of the given numbers is 5 x 101 x 767 x 31 = 12007385

Least Common Multiple of 505,767,155 with GCF Formula

Least Common Multiple of 505,767,155 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 505,767,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(505,767,155) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(505,767,155) x common factors =1 x 5 = 5

LCM(505,767,155) = ( 505 × 767 × 155 ) / 5

LCM(505,767,155) = 60036925 / 5

LCM(505,767,155) = 12007385


Lets's calculate GCF of 15,77,269

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12007385/1

Therefore the LCM of Fractions 505/15,767/77,155/269 is 12007385

Greatest Common Factor of 15,77,269 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,77,269 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Greatest Common Factor

We found the factors 15,77,269 . The biggest common factor number is the GCF number.
So the greatest common factor 15,77,269 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 505/15, 767/77, 155/269

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 505/15, 767/77, 155/269?

Answer: LCM of Numerators as per given numbers 505/15, 767/77, 155/269 is

LCM of Numerators i.e. for 505,767,155 is 12007385

GCF of denominators i.e. for 15,77,269 is 1.

Thus, LCM of Fractions is 12007385.Finally, LCM of Fractions for 505/15, 767/77, 155/269 is 12007385.