Least Common Multiple of 80/679, 164/522, 604/477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 80/679, 164/522, 604/477 quickly i.e. 495280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/679, 164/522, 604/477 is 495280.

LCM(80/679, 164/522, 604/477) = 495280

LCM of 80/679, 164/522, 604/477

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 80/679,164/522,604/477

Given numbers are 80/679,164/522,604/477

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 80,164,604

Least Common Multiple of Numerators i.e. LCM of 80,164,604 is 495280.

GCF of Denominators means GCF of 679,522,477 as per the given fractions.

GCF of 679,522,477 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,164,604

LCM of Fractions 80/679,164/522,604/477 is 495280

2 80, 164, 604
2 40, 82, 302
20, 41, 151

∴ So the LCM of the given numbers is 2 x 2 x 20 x 41 x 151 = 495280

Least Common Multiple of 80,164,604 with GCF Formula

Least Common Multiple of 80,164,604 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 80,164,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,164,604) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(80,164,604) x common factors =4 x 4 = 16

LCM(80,164,604) = ( 80 × 164 × 604 ) / 16

LCM(80,164,604) = 7924480 / 16

LCM(80,164,604) = 495280


Lets's calculate GCF of 679,522,477

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 495280/1

Therefore the LCM of Fractions 80/679,164/522,604/477 is 495280

Greatest Common Factor of 679,522,477 By Matching Biggest Common Factor Method

Greatest Common Factor of 679,522,477 By Matching Biggest Common Factor Method

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Greatest Common Factor

We found the factors 679,522,477 . The biggest common factor number is the GCF number.
So the greatest common factor 679,522,477 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 80/679, 164/522, 604/477

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 80/679, 164/522, 604/477?

Answer: LCM of Numerators as per given numbers 80/679, 164/522, 604/477 is

LCM of Numerators i.e. for 80,164,604 is 495280

GCF of denominators i.e. for 679,522,477 is 1.

Thus, LCM of Fractions is 495280.Finally, LCM of Fractions for 80/679, 164/522, 604/477 is 495280.