Least Common Multiple of 93/20, 82/23, 15/97, 94/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 93/20, 82/23, 15/97, 94/702 quickly i.e. 1792110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/20, 82/23, 15/97, 94/702 is 1792110.

LCM(93/20, 82/23, 15/97, 94/702) = 1792110

LCM of 93/20, 82/23, 15/97, 94/702

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 93/20,82/23,15/97,94/702

Given numbers are 93/20,82/23,15/97,94/702

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 93,82,15,94

Least Common Multiple of Numerators i.e. LCM of 93,82,15,94 is 1792110.

GCF of Denominators means GCF of 20,23,97,702 as per the given fractions.

GCF of 20,23,97,702 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,82,15,94

LCM of Fractions 93/20,82/23,15/97,94/702 is 1792110

2 93, 82, 15, 94
3 93, 41, 15, 47
31, 41, 5, 47

∴ So the LCM of the given numbers is 2 x 3 x 31 x 41 x 5 x 47 = 1792110

Least Common Multiple of 93,82,15,94 with GCF Formula

Least Common Multiple of 93,82,15,94 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 93,82,15,94 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,82,15,94) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(93,82,15,94) x common factors =1 x 6 = 6

LCM(93,82,15,94) = ( 93 × 82 × 15 × 94 ) / 6

LCM(93,82,15,94) = 10752660 / 6

LCM(93,82,15,94) = 1792110


Lets's calculate GCF of 20,23,97,702

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1792110/1

Therefore the LCM of Fractions 93/20,82/23,15/97,94/702 is 1792110

Greatest Common Factor of 20,23,97,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,23,97,702 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 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 97

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

1,97

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 20,23,97,702 . The biggest common factor number is the GCF number.
So the greatest common factor 20,23,97,702 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 93/20, 82/23, 15/97, 94/702

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 93/20, 82/23, 15/97, 94/702?

Answer: LCM of Numerators as per given numbers 93/20, 82/23, 15/97, 94/702 is

LCM of Numerators i.e. for 93,82,15,94 is 1792110

GCF of denominators i.e. for 20,23,97,702 is 1.

Thus, LCM of Fractions is 1792110.Finally, LCM of Fractions for 93/20, 82/23, 15/97, 94/702 is 1792110.