Least Common Multiple of 60/66, 83/997, 415/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/66, 83/997, 415/328 quickly i.e. 4980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/66, 83/997, 415/328 is 4980.

LCM(60/66, 83/997, 415/328) = 4980

LCM of 60/66, 83/997, 415/328

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 60/66,83/997,415/328

Given numbers are 60/66,83/997,415/328

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 60,83,415

Least Common Multiple of Numerators i.e. LCM of 60,83,415 is 4980.

GCF of Denominators means GCF of 66,997,328 as per the given fractions.

GCF of 66,997,328 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,83,415

LCM of Fractions 60/66,83/997,415/328 is 4980

5 60, 83, 415
83 12, 83, 83
12, 1, 1

∴ So the LCM of the given numbers is 5 x 83 x 12 x 1 x 1 = 4980

Least Common Multiple of 60,83,415 with GCF Formula

Least Common Multiple of 60,83,415 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 60,83,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,83,415) = 1

common factors(in case of two or more numbers have common factors) = 415

GCF(60,83,415) x common factors =1 x 415 = 415

LCM(60,83,415) = ( 60 × 83 × 415 ) / 415

LCM(60,83,415) = 2066700 / 415

LCM(60,83,415) = 4980


Lets's calculate GCF of 66,997,328

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4980/1

Therefore the LCM of Fractions 60/66,83/997,415/328 is 4980

Greatest Common Factor of 66,997,328 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,997,328 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Greatest Common Factor

We found the factors 66,997,328 . The biggest common factor number is the GCF number.
So the greatest common factor 66,997,328 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 60/66, 83/997, 415/328

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 60/66, 83/997, 415/328?

Answer: LCM of Numerators as per given numbers 60/66, 83/997, 415/328 is

LCM of Numerators i.e. for 60,83,415 is 4980

GCF of denominators i.e. for 66,997,328 is 1.

Thus, LCM of Fractions is 4980.Finally, LCM of Fractions for 60/66, 83/997, 415/328 is 4980.