Least Common Multiple of 47/469, 15/707, 464/659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 47/469, 15/707, 464/659 quickly i.e. 327120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/469, 15/707, 464/659 is 327120.

LCM(47/469, 15/707, 464/659) = 327120

LCM of 47/469, 15/707, 464/659

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 47/469,15/707,464/659

Given numbers are 47/469,15/707,464/659

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 47,15,464

Least Common Multiple of Numerators i.e. LCM of 47,15,464 is 327120.

GCF of Denominators means GCF of 469,707,659 as per the given fractions.

GCF of 469,707,659 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,15,464

LCM of Fractions 47/469,15/707,464/659 is 327120

Given numbers has no common factors except 1. So, there LCM is their product i.e 327120

Least Common Multiple of 47,15,464 with GCF Formula

Least Common Multiple of 47,15,464 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 47,15,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,15,464) = 1

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

GCF(47,15,464) x common factors =1 x 1 = 1

LCM(47,15,464) = ( 47 × 15 × 464 ) / 1

LCM(47,15,464) = 327120 / 1

LCM(47,15,464) = 327120


Lets's calculate GCF of 469,707,659

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 327120/1

Therefore the LCM of Fractions 47/469,15/707,464/659 is 327120

Greatest Common Factor of 469,707,659 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,707,659 By Matching Biggest Common Factor Method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Greatest Common Factor

We found the factors 469,707,659 . The biggest common factor number is the GCF number.
So the greatest common factor 469,707,659 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 47/469, 15/707, 464/659

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 47/469, 15/707, 464/659?

Answer: LCM of Numerators as per given numbers 47/469, 15/707, 464/659 is

LCM of Numerators i.e. for 47,15,464 is 327120

GCF of denominators i.e. for 469,707,659 is 1.

Thus, LCM of Fractions is 327120.Finally, LCM of Fractions for 47/469, 15/707, 464/659 is 327120.