Least Common Multiple of 33/69, 74/23, 77/761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/69, 74/23, 77/761 quickly i.e. 17094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/69, 74/23, 77/761 is 17094.

LCM(33/69, 74/23, 77/761) = 17094

LCM of 33/69, 74/23, 77/761

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 33/69,74/23,77/761

Given numbers are 33/69,74/23,77/761

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 33,74,77

Least Common Multiple of Numerators i.e. LCM of 33,74,77 is 17094.

GCF of Denominators means GCF of 69,23,761 as per the given fractions.

GCF of 69,23,761 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,74,77

LCM of Fractions 33/69,74/23,77/761 is 17094

11 33, 74, 77
3, 74, 7

∴ So the LCM of the given numbers is 11 x 3 x 74 x 7 = 17094

Least Common Multiple of 33,74,77 with GCF Formula

Least Common Multiple of 33,74,77 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 33,74,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,74,77) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(33,74,77) x common factors =1 x 11 = 11

LCM(33,74,77) = ( 33 × 74 × 77 ) / 11

LCM(33,74,77) = 188034 / 11

LCM(33,74,77) = 17094


Lets's calculate GCF of 69,23,761

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17094/1

Therefore the LCM of Fractions 33/69,74/23,77/761 is 17094

Greatest Common Factor of 69,23,761 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,23,761 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 761

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

1,761

Greatest Common Factor

We found the factors 69,23,761 . The biggest common factor number is the GCF number.
So the greatest common factor 69,23,761 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 33/69, 74/23, 77/761

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 33/69, 74/23, 77/761?

Answer: LCM of Numerators as per given numbers 33/69, 74/23, 77/761 is

LCM of Numerators i.e. for 33,74,77 is 17094

GCF of denominators i.e. for 69,23,761 is 1.

Thus, LCM of Fractions is 17094.Finally, LCM of Fractions for 33/69, 74/23, 77/761 is 17094.