Least Common Multiple of 947/20, 817/89, 309/124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 947/20, 817/89, 309/124 quickly i.e. 239072991 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 947/20, 817/89, 309/124 is 239072991.

LCM(947/20, 817/89, 309/124) = 239072991

LCM of 947/20, 817/89, 309/124

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 947/20,817/89,309/124

Given numbers are 947/20,817/89,309/124

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 947,817,309

Least Common Multiple of Numerators i.e. LCM of 947,817,309 is 239072991.

GCF of Denominators means GCF of 20,89,124 as per the given fractions.

GCF of 20,89,124 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 947,817,309

LCM of Fractions 947/20,817/89,309/124 is 239072991

Given numbers has no common factors except 1. So, there LCM is their product i.e 239072991

Least Common Multiple of 947,817,309 with GCF Formula

Least Common Multiple of 947,817,309 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 947,817,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(947,817,309) = 1

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

GCF(947,817,309) x common factors =1 x 1 = 1

LCM(947,817,309) = ( 947 × 817 × 309 ) / 1

LCM(947,817,309) = 239072991 / 1

LCM(947,817,309) = 239072991


Lets's calculate GCF of 20,89,124

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 239072991/1

Therefore the LCM of Fractions 947/20,817/89,309/124 is 239072991

Greatest Common Factor of 20,89,124 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,89,124 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 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Greatest Common Factor

We found the factors 20,89,124 . The biggest common factor number is the GCF number.
So the greatest common factor 20,89,124 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 947/20, 817/89, 309/124

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 947/20, 817/89, 309/124?

Answer: LCM of Numerators as per given numbers 947/20, 817/89, 309/124 is

LCM of Numerators i.e. for 947,817,309 is 239072991

GCF of denominators i.e. for 20,89,124 is 1.

Thus, LCM of Fractions is 239072991.Finally, LCM of Fractions for 947/20, 817/89, 309/124 is 239072991.