Least Common Multiple of 509/55, 167/41, 415/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 509/55, 167/41, 415/678 quickly i.e. 35276245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 509/55, 167/41, 415/678 is 35276245.

LCM(509/55, 167/41, 415/678) = 35276245

LCM of 509/55, 167/41, 415/678

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 509/55,167/41,415/678

Given numbers are 509/55,167/41,415/678

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 509,167,415

Least Common Multiple of Numerators i.e. LCM of 509,167,415 is 35276245.

GCF of Denominators means GCF of 55,41,678 as per the given fractions.

GCF of 55,41,678 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 509,167,415

LCM of Fractions 509/55,167/41,415/678 is 35276245

Given numbers has no common factors except 1. So, there LCM is their product i.e 35276245

Least Common Multiple of 509,167,415 with GCF Formula

Least Common Multiple of 509,167,415 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 509,167,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,167,415) = 1

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

GCF(509,167,415) x common factors =1 x 1 = 1

LCM(509,167,415) = ( 509 × 167 × 415 ) / 1

LCM(509,167,415) = 35276245 / 1

LCM(509,167,415) = 35276245


Lets's calculate GCF of 55,41,678

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35276245/1

Therefore the LCM of Fractions 509/55,167/41,415/678 is 35276245

Greatest Common Factor of 55,41,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,41,678 By Matching Biggest Common Factor Method

Factors of 55

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

1,5,11,55

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 55,41,678 . The biggest common factor number is the GCF number.
So the greatest common factor 55,41,678 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 509/55, 167/41, 415/678

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 509/55, 167/41, 415/678?

Answer: LCM of Numerators as per given numbers 509/55, 167/41, 415/678 is

LCM of Numerators i.e. for 509,167,415 is 35276245

GCF of denominators i.e. for 55,41,678 is 1.

Thus, LCM of Fractions is 35276245.Finally, LCM of Fractions for 509/55, 167/41, 415/678 is 35276245.