Least Common Multiple of 829/61, 686/66, 155/31

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 829/61, 686/66, 155/31 quickly i.e. 88147570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 829/61, 686/66, 155/31 is 88147570.

LCM(829/61, 686/66, 155/31) = 88147570

LCM of 829/61, 686/66, 155/31

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 829/61,686/66,155/31

Given numbers are 829/61,686/66,155/31

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 829,686,155

Least Common Multiple of Numerators i.e. LCM of 829,686,155 is 88147570.

GCF of Denominators means GCF of 61,66,31 as per the given fractions.

GCF of 61,66,31 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 829,686,155

LCM of Fractions 829/61,686/66,155/31 is 88147570

Given numbers has no common factors except 1. So, there LCM is their product i.e 88147570

Least Common Multiple of 829,686,155 with GCF Formula

Least Common Multiple of 829,686,155 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 829,686,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(829,686,155) = 1

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

GCF(829,686,155) x common factors =1 x 1 = 1

LCM(829,686,155) = ( 829 × 686 × 155 ) / 1

LCM(829,686,155) = 88147570 / 1

LCM(829,686,155) = 88147570


Lets's calculate GCF of 61,66,31

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88147570/1

Therefore the LCM of Fractions 829/61,686/66,155/31 is 88147570

Greatest Common Factor of 61,66,31 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,66,31 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

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 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Greatest Common Factor

We found the factors 61,66,31 . The biggest common factor number is the GCF number.
So the greatest common factor 61,66,31 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 829/61, 686/66, 155/31

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 829/61, 686/66, 155/31?

Answer: LCM of Numerators as per given numbers 829/61, 686/66, 155/31 is

LCM of Numerators i.e. for 829,686,155 is 88147570

GCF of denominators i.e. for 61,66,31 is 1.

Thus, LCM of Fractions is 88147570.Finally, LCM of Fractions for 829/61, 686/66, 155/31 is 88147570.