Least Common Multiple of 83/107, 67/137, 415/575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/107, 67/137, 415/575 quickly i.e. 27805 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/107, 67/137, 415/575 is 27805.

LCM(83/107, 67/137, 415/575) = 27805

LCM of 83/107, 67/137, 415/575

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 83/107,67/137,415/575

Given numbers are 83/107,67/137,415/575

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 83,67,415

Least Common Multiple of Numerators i.e. LCM of 83,67,415 is 27805.

GCF of Denominators means GCF of 107,137,575 as per the given fractions.

GCF of 107,137,575 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,67,415

LCM of Fractions 83/107,67/137,415/575 is 27805

83 83, 67, 415
1, 67, 5

∴ So the LCM of the given numbers is 83 x 1 x 67 x 5 = 27805

Least Common Multiple of 83,67,415 with GCF Formula

Least Common Multiple of 83,67,415 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 83,67,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,67,415) = 1

common factors(in case of two or more numbers have common factors) = 83

GCF(83,67,415) x common factors =1 x 83 = 83

LCM(83,67,415) = ( 83 × 67 × 415 ) / 83

LCM(83,67,415) = 2307815 / 83

LCM(83,67,415) = 27805


Lets's calculate GCF of 107,137,575

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27805/1

Therefore the LCM of Fractions 83/107,67/137,415/575 is 27805

Greatest Common Factor of 107,137,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 107,137,575 By Matching Biggest Common Factor Method

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Greatest Common Factor

We found the factors 107,137,575 . The biggest common factor number is the GCF number.
So the greatest common factor 107,137,575 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 83/107, 67/137, 415/575

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 83/107, 67/137, 415/575?

Answer: LCM of Numerators as per given numbers 83/107, 67/137, 415/575 is

LCM of Numerators i.e. for 83,67,415 is 27805

GCF of denominators i.e. for 107,137,575 is 1.

Thus, LCM of Fractions is 27805.Finally, LCM of Fractions for 83/107, 67/137, 415/575 is 27805.