Least Common Multiple of 61/764, 80/761, 171/888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/764, 80/761, 171/888 quickly i.e. 834480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/764, 80/761, 171/888 is 834480.

LCM(61/764, 80/761, 171/888) = 834480

LCM of 61/764, 80/761, 171/888

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 61/764,80/761,171/888

Given numbers are 61/764,80/761,171/888

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 61,80,171

Least Common Multiple of Numerators i.e. LCM of 61,80,171 is 834480.

GCF of Denominators means GCF of 764,761,888 as per the given fractions.

GCF of 764,761,888 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,80,171

LCM of Fractions 61/764,80/761,171/888 is 834480

Given numbers has no common factors except 1. So, there LCM is their product i.e 834480

Least Common Multiple of 61,80,171 with GCF Formula

Least Common Multiple of 61,80,171 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 61,80,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,80,171) = 1

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

GCF(61,80,171) x common factors =1 x 1 = 1

LCM(61,80,171) = ( 61 × 80 × 171 ) / 1

LCM(61,80,171) = 834480 / 1

LCM(61,80,171) = 834480


Lets's calculate GCF of 764,761,888

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 834480/1

Therefore the LCM of Fractions 61/764,80/761,171/888 is 834480

Greatest Common Factor of 764,761,888 By Matching Biggest Common Factor Method

Greatest Common Factor of 764,761,888 By Matching Biggest Common Factor Method

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Greatest Common Factor

We found the factors 764,761,888 . The biggest common factor number is the GCF number.
So the greatest common factor 764,761,888 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 61/764, 80/761, 171/888

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 61/764, 80/761, 171/888?

Answer: LCM of Numerators as per given numbers 61/764, 80/761, 171/888 is

LCM of Numerators i.e. for 61,80,171 is 834480

GCF of denominators i.e. for 764,761,888 is 1.

Thus, LCM of Fractions is 834480.Finally, LCM of Fractions for 61/764, 80/761, 171/888 is 834480.