Least Common Multiple of 612/90, 802/11, 266/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 612/90, 802/11, 266/364 quickly i.e. 32639796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 612/90, 802/11, 266/364 is 32639796.

LCM(612/90, 802/11, 266/364) = 32639796

LCM of 612/90, 802/11, 266/364

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 612/90,802/11,266/364

Given numbers are 612/90,802/11,266/364

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 612,802,266

Least Common Multiple of Numerators i.e. LCM of 612,802,266 is 32639796.

GCF of Denominators means GCF of 90,11,364 as per the given fractions.

GCF of 90,11,364 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 612,802,266

LCM of Fractions 612/90,802/11,266/364 is 32639796

2 612, 802, 266
306, 401, 133

∴ So the LCM of the given numbers is 2 x 306 x 401 x 133 = 32639796

Least Common Multiple of 612,802,266 with GCF Formula

Least Common Multiple of 612,802,266 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 612,802,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(612,802,266) = 2

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

GCF(612,802,266) x common factors =2 x 2 = 4

LCM(612,802,266) = ( 612 × 802 × 266 ) / 4

LCM(612,802,266) = 130559184 / 4

LCM(612,802,266) = 32639796


Lets's calculate GCF of 90,11,364

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32639796/1

Therefore the LCM of Fractions 612/90,802/11,266/364 is 32639796

Greatest Common Factor of 90,11,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,11,364 By Matching Biggest Common Factor Method

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 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 90,11,364 . The biggest common factor number is the GCF number.
So the greatest common factor 90,11,364 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 612/90, 802/11, 266/364

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 612/90, 802/11, 266/364?

Answer: LCM of Numerators as per given numbers 612/90, 802/11, 266/364 is

LCM of Numerators i.e. for 612,802,266 is 32639796

GCF of denominators i.e. for 90,11,364 is 1.

Thus, LCM of Fractions is 32639796.Finally, LCM of Fractions for 612/90, 802/11, 266/364 is 32639796.