Least Common Multiple of 67/90, 804/29, 560/761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/90, 804/29, 560/761 quickly i.e. 112560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/90, 804/29, 560/761 is 112560.

LCM(67/90, 804/29, 560/761) = 112560

LCM of 67/90, 804/29, 560/761

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 67/90,804/29,560/761

Given numbers are 67/90,804/29,560/761

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 67,804,560

Least Common Multiple of Numerators i.e. LCM of 67,804,560 is 112560.

GCF of Denominators means GCF of 90,29,761 as per the given fractions.

GCF of 90,29,761 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,804,560

LCM of Fractions 67/90,804/29,560/761 is 112560

2 67, 804, 560
2 67, 402, 280
67 67, 201, 140
1, 3, 140

∴ So the LCM of the given numbers is 2 x 2 x 67 x 1 x 3 x 140 = 112560

Least Common Multiple of 67,804,560 with GCF Formula

Least Common Multiple of 67,804,560 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 67,804,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,804,560) = 1

common factors(in case of two or more numbers have common factors) = 268

GCF(67,804,560) x common factors =1 x 268 = 268

LCM(67,804,560) = ( 67 × 804 × 560 ) / 268

LCM(67,804,560) = 30166080 / 268

LCM(67,804,560) = 112560


Lets's calculate GCF of 90,29,761

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112560/1

Therefore the LCM of Fractions 67/90,804/29,560/761 is 112560

Greatest Common Factor of 90,29,761 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,29,761 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

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 90,29,761 . The biggest common factor number is the GCF number.
So the greatest common factor 90,29,761 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 67/90, 804/29, 560/761

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 67/90, 804/29, 560/761?

Answer: LCM of Numerators as per given numbers 67/90, 804/29, 560/761 is

LCM of Numerators i.e. for 67,804,560 is 112560

GCF of denominators i.e. for 90,29,761 is 1.

Thus, LCM of Fractions is 112560.Finally, LCM of Fractions for 67/90, 804/29, 560/761 is 112560.