Least Common Multiple of 66/66, 559/64, 508/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 66/66, 559/64, 508/918 quickly i.e. 4685538 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/66, 559/64, 508/918 is 4685538.

LCM(66/66, 559/64, 508/918) = 4685538

LCM of 66/66, 559/64, 508/918

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 66/66,559/64,508/918

Given numbers are 66/66,559/64,508/918

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 66,559,508

Least Common Multiple of Numerators i.e. LCM of 66,559,508 is 9371076.

GCF of Denominators means GCF of 66,64,918 as per the given fractions.

GCF of 66,64,918 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,559,508

LCM of Fractions 66/66,559/64,508/918 is 4685538

2 66, 559, 508
33, 559, 254

∴ So the LCM of the given numbers is 2 x 33 x 559 x 254 = 9371076

Least Common Multiple of 66,559,508 with GCF Formula

Least Common Multiple of 66,559,508 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 66,559,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,559,508) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(66,559,508) x common factors =1 x 2 = 2

LCM(66,559,508) = ( 66 × 559 × 508 ) / 2

LCM(66,559,508) = 18742152 / 2

LCM(66,559,508) = 9371076


Lets's calculate GCF of 66,64,918

2 66, 64, 918
33, 32, 459

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9371076/2

Therefore the LCM of Fractions 66/66,559/64,508/918 is 4685538

Greatest Common Factor of 66,64,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,64,918 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

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 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 66,64,918 . The biggest common factor number is the GCF number.
So the greatest common factor 66,64,918 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 66/66, 559/64, 508/918

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 66/66, 559/64, 508/918?

Answer: LCM of Numerators as per given numbers 66/66, 559/64, 508/918 is

LCM of Numerators i.e. for 66,559,508 is 9371076

GCF of denominators i.e. for 66,64,918 is 2.

Thus, LCM of Fractions is 4685538.Finally, LCM of Fractions for 66/66, 559/64, 508/918 is 4685538.