Least Common Multiple of 890/82, 255/34, 133/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 890/82, 255/34, 133/680 quickly i.e. 3018435 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 890/82, 255/34, 133/680 is 3018435.

LCM(890/82, 255/34, 133/680) = 3018435

LCM of 890/82, 255/34, 133/680

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 890/82,255/34,133/680

Given numbers are 890/82,255/34,133/680

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 890,255,133

Least Common Multiple of Numerators i.e. LCM of 890,255,133 is 6036870.

GCF of Denominators means GCF of 82,34,680 as per the given fractions.

GCF of 82,34,680 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 890,255,133

LCM of Fractions 890/82,255/34,133/680 is 3018435

5 890, 255, 133
178, 51, 133

∴ So the LCM of the given numbers is 5 x 178 x 51 x 133 = 6036870

Least Common Multiple of 890,255,133 with GCF Formula

Least Common Multiple of 890,255,133 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 890,255,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(890,255,133) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(890,255,133) x common factors =1 x 5 = 5

LCM(890,255,133) = ( 890 × 255 × 133 ) / 5

LCM(890,255,133) = 30184350 / 5

LCM(890,255,133) = 6036870


Lets's calculate GCF of 82,34,680

2 82, 34, 680
41, 17, 340

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6036870/2

Therefore the LCM of Fractions 890/82,255/34,133/680 is 3018435

Greatest Common Factor of 82,34,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,34,680 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 82,34,680 . The biggest common factor number is the GCF number.
So the greatest common factor 82,34,680 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 890/82, 255/34, 133/680

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 890/82, 255/34, 133/680?

Answer: LCM of Numerators as per given numbers 890/82, 255/34, 133/680 is

LCM of Numerators i.e. for 890,255,133 is 6036870

GCF of denominators i.e. for 82,34,680 is 2.

Thus, LCM of Fractions is 3018435.Finally, LCM of Fractions for 890/82, 255/34, 133/680 is 3018435.