Least Common Multiple of 682/62, 871/37, 465/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 682/62, 871/37, 465/660 quickly i.e. 8910330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 682/62, 871/37, 465/660 is 8910330.

LCM(682/62, 871/37, 465/660) = 8910330

LCM of 682/62, 871/37, 465/660

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 682/62,871/37,465/660

Given numbers are 682/62,871/37,465/660

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 682,871,465

Least Common Multiple of Numerators i.e. LCM of 682,871,465 is 8910330.

GCF of Denominators means GCF of 62,37,660 as per the given fractions.

GCF of 62,37,660 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 682,871,465

LCM of Fractions 682/62,871/37,465/660 is 8910330

31 682, 871, 465
22, 871, 15

∴ So the LCM of the given numbers is 31 x 22 x 871 x 15 = 8910330

Least Common Multiple of 682,871,465 with GCF Formula

Least Common Multiple of 682,871,465 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 682,871,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,871,465) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(682,871,465) x common factors =1 x 31 = 31

LCM(682,871,465) = ( 682 × 871 × 465 ) / 31

LCM(682,871,465) = 276220230 / 31

LCM(682,871,465) = 8910330


Lets's calculate GCF of 62,37,660

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8910330/1

Therefore the LCM of Fractions 682/62,871/37,465/660 is 8910330

Greatest Common Factor of 62,37,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,37,660 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors 62,37,660 . The biggest common factor number is the GCF number.
So the greatest common factor 62,37,660 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 682/62, 871/37, 465/660

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 682/62, 871/37, 465/660?

Answer: LCM of Numerators as per given numbers 682/62, 871/37, 465/660 is

LCM of Numerators i.e. for 682,871,465 is 8910330

GCF of denominators i.e. for 62,37,660 is 1.

Thus, LCM of Fractions is 8910330.Finally, LCM of Fractions for 682/62, 871/37, 465/660 is 8910330.