Least Common Multiple of 26/20, 61/67, 65/97, 585/92

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 26/20, 61/67, 65/97, 585/92 quickly i.e. 71370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/20, 61/67, 65/97, 585/92 is 71370.

LCM(26/20, 61/67, 65/97, 585/92) = 71370

LCM of 26/20, 61/67, 65/97, 585/92

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 26/20,61/67,65/97,585/92

Given numbers are 26/20,61/67,65/97,585/92

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 26,61,65,585

Least Common Multiple of Numerators i.e. LCM of 26,61,65,585 is 71370.

GCF of Denominators means GCF of 20,67,97,92 as per the given fractions.

GCF of 20,67,97,92 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,61,65,585

LCM of Fractions 26/20,61/67,65/97,585/92 is 71370

5 26, 61, 65, 585
13 26, 61, 13, 117
2, 61, 1, 9

∴ So the LCM of the given numbers is 5 x 13 x 2 x 61 x 1 x 9 = 71370

Least Common Multiple of 26,61,65,585 with GCF Formula

Least Common Multiple of 26,61,65,585 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 26,61,65,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,61,65,585) = 1

common factors(in case of two or more numbers have common factors) = 845

GCF(26,61,65,585) x common factors =1 x 845 = 845

LCM(26,61,65,585) = ( 26 × 61 × 65 × 585 ) / 845

LCM(26,61,65,585) = 60307650 / 845

LCM(26,61,65,585) = 71370


Lets's calculate GCF of 20,67,97,92

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71370/1

Therefore the LCM of Fractions 26/20,61/67,65/97,585/92 is 71370

Greatest Common Factor of 20,67,97,92 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,67,97,92 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Greatest Common Factor

We found the factors 20,67,97,92 . The biggest common factor number is the GCF number.
So the greatest common factor 20,67,97,92 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 26/20, 61/67, 65/97, 585/92

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 26/20, 61/67, 65/97, 585/92?

Answer: LCM of Numerators as per given numbers 26/20, 61/67, 65/97, 585/92 is

LCM of Numerators i.e. for 26,61,65,585 is 71370

GCF of denominators i.e. for 20,67,97,92 is 1.

Thus, LCM of Fractions is 71370.Finally, LCM of Fractions for 26/20, 61/67, 65/97, 585/92 is 71370.