Least Common Multiple of 802/27, 969/66, 135/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 802/27, 969/66, 135/267 quickly i.e. 11657070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 802/27, 969/66, 135/267 is 11657070.

LCM(802/27, 969/66, 135/267) = 11657070

LCM of 802/27, 969/66, 135/267

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 802/27,969/66,135/267

Given numbers are 802/27,969/66,135/267

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 802,969,135

Least Common Multiple of Numerators i.e. LCM of 802,969,135 is 34971210.

GCF of Denominators means GCF of 27,66,267 as per the given fractions.

GCF of 27,66,267 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 802,969,135

LCM of Fractions 802/27,969/66,135/267 is 11657070

3 802, 969, 135
802, 323, 45

∴ So the LCM of the given numbers is 3 x 802 x 323 x 45 = 34971210

Least Common Multiple of 802,969,135 with GCF Formula

Least Common Multiple of 802,969,135 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 802,969,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,969,135) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(802,969,135) x common factors =1 x 3 = 3

LCM(802,969,135) = ( 802 × 969 × 135 ) / 3

LCM(802,969,135) = 104913630 / 3

LCM(802,969,135) = 34971210


Lets's calculate GCF of 27,66,267

3 27, 66, 267
9, 22, 89

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34971210/3

Therefore the LCM of Fractions 802/27,969/66,135/267 is 11657070

Greatest Common Factor of 27,66,267 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,66,267 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

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 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Greatest Common Factor

We found the factors 27,66,267 . The biggest common factor number is the GCF number.
So the greatest common factor 27,66,267 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 802/27, 969/66, 135/267

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 802/27, 969/66, 135/267?

Answer: LCM of Numerators as per given numbers 802/27, 969/66, 135/267 is

LCM of Numerators i.e. for 802,969,135 is 34971210

GCF of denominators i.e. for 27,66,267 is 3.

Thus, LCM of Fractions is 11657070.Finally, LCM of Fractions for 802/27, 969/66, 135/267 is 11657070.