Least Common Multiple of 548/64, 479/90, 379/33

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 548/64, 479/90, 379/33 quickly i.e. 99484468 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 548/64, 479/90, 379/33 is 99484468.

LCM(548/64, 479/90, 379/33) = 99484468

LCM of 548/64, 479/90, 379/33

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 548/64,479/90,379/33

Given numbers are 548/64,479/90,379/33

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 548,479,379

Least Common Multiple of Numerators i.e. LCM of 548,479,379 is 99484468.

GCF of Denominators means GCF of 64,90,33 as per the given fractions.

GCF of 64,90,33 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 548,479,379

LCM of Fractions 548/64,479/90,379/33 is 99484468

Given numbers has no common factors except 1. So, there LCM is their product i.e 99484468

Least Common Multiple of 548,479,379 with GCF Formula

Least Common Multiple of 548,479,379 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 548,479,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(548,479,379) = 1

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

GCF(548,479,379) x common factors =1 x 1 = 1

LCM(548,479,379) = ( 548 × 479 × 379 ) / 1

LCM(548,479,379) = 99484468 / 1

LCM(548,479,379) = 99484468


Lets's calculate GCF of 64,90,33

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99484468/1

Therefore the LCM of Fractions 548/64,479/90,379/33 is 99484468

Greatest Common Factor of 64,90,33 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,90,33 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Greatest Common Factor

We found the factors 64,90,33 . The biggest common factor number is the GCF number.
So the greatest common factor 64,90,33 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 548/64, 479/90, 379/33

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 548/64, 479/90, 379/33?

Answer: LCM of Numerators as per given numbers 548/64, 479/90, 379/33 is

LCM of Numerators i.e. for 548,479,379 is 99484468

GCF of denominators i.e. for 64,90,33 is 1.

Thus, LCM of Fractions is 99484468.Finally, LCM of Fractions for 548/64, 479/90, 379/33 is 99484468.