Least Common Multiple of 67/581, 2195/1280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 67/581, 2195/1280 quickly i.e. 147065 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/581, 2195/1280 is 147065.

LCM(67/581, 2195/1280) = 147065

LCM of 67/581, 2195/1280

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 67/581,2195/1280

Given numbers are 67/581,2195/1280

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 67,2195

Least Common Multiple of Numerators i.e. LCM of 67,2195 is 147065.

GCF of Denominators means GCF of 581,1280 as per the given fractions.

GCF of 581,1280 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,2195

LCM of Fractions 67/581,2195/1280 is 147065

Given numbers has no common factors except 1. So, there LCM is their product i.e 147065

Least Common Multiple of 67,2195 with GCF Formula

Least Common Multiple of 67,2195 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 67,2195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,2195) = 1

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

GCF(67,2195) x common factors =1 x 1 = 1

LCM(67,2195) = ( 67 × 2195 ) / 1

LCM(67,2195) = 147065 / 1

LCM(67,2195) = 147065


Lets's calculate GCF of 581,1280

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 147065/1

Therefore the LCM of Fractions 67/581,2195/1280 is 147065

Greatest Common Factor of 581,1280 By Matching Biggest Common Factor Method

Greatest Common Factor of 581,1280 By Matching Biggest Common Factor Method

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Factors of 1280

List of positive integer factors of 1280 that divides 1280 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,640,1280

Greatest Common Factor

We found the factors 581,1280 . The biggest common factor number is the GCF number.
So the greatest common factor 581,1280 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 67/581, 2195/1280

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 67/581, 2195/1280?

Answer: LCM of Numerators as per given numbers 67/581, 2195/1280 is

LCM of Numerators i.e. for 67,2195 is 147065

GCF of denominators i.e. for 581,1280 is 1.

Thus, LCM of Fractions is 147065.Finally, LCM of Fractions for 67/581, 2195/1280 is 147065.