Least Common Multiple of 65/59, 932/28, 890/401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 65/59, 932/28, 890/401 quickly i.e. 5391620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/59, 932/28, 890/401 is 5391620.

LCM(65/59, 932/28, 890/401) = 5391620

LCM of 65/59, 932/28, 890/401

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 65/59,932/28,890/401

Given numbers are 65/59,932/28,890/401

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 65,932,890

Least Common Multiple of Numerators i.e. LCM of 65,932,890 is 5391620.

GCF of Denominators means GCF of 59,28,401 as per the given fractions.

GCF of 59,28,401 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,932,890

LCM of Fractions 65/59,932/28,890/401 is 5391620

2 65, 932, 890
5 65, 466, 445
13, 466, 89

∴ So the LCM of the given numbers is 2 x 5 x 13 x 466 x 89 = 5391620

Least Common Multiple of 65,932,890 with GCF Formula

Least Common Multiple of 65,932,890 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 65,932,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,932,890) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(65,932,890) x common factors =1 x 10 = 10

LCM(65,932,890) = ( 65 × 932 × 890 ) / 10

LCM(65,932,890) = 53916200 / 10

LCM(65,932,890) = 5391620


Lets's calculate GCF of 59,28,401

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5391620/1

Therefore the LCM of Fractions 65/59,932/28,890/401 is 5391620

Greatest Common Factor of 59,28,401 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,28,401 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Greatest Common Factor

We found the factors 59,28,401 . The biggest common factor number is the GCF number.
So the greatest common factor 59,28,401 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 65/59, 932/28, 890/401

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 65/59, 932/28, 890/401?

Answer: LCM of Numerators as per given numbers 65/59, 932/28, 890/401 is

LCM of Numerators i.e. for 65,932,890 is 5391620

GCF of denominators i.e. for 59,28,401 is 1.

Thus, LCM of Fractions is 5391620.Finally, LCM of Fractions for 65/59, 932/28, 890/401 is 5391620.