Least Common Multiple of 66/16, 269/26, 697/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/16, 269/26, 697/169 quickly i.e. 12374538 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/16, 269/26, 697/169 is 12374538.

LCM(66/16, 269/26, 697/169) = 12374538

LCM of 66/16, 269/26, 697/169

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 66/16,269/26,697/169

Given numbers are 66/16,269/26,697/169

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 66,269,697

Least Common Multiple of Numerators i.e. LCM of 66,269,697 is 12374538.

GCF of Denominators means GCF of 16,26,169 as per the given fractions.

GCF of 16,26,169 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,269,697

LCM of Fractions 66/16,269/26,697/169 is 12374538

Given numbers has no common factors except 1. So, there LCM is their product i.e 12374538

Least Common Multiple of 66,269,697 with GCF Formula

Least Common Multiple of 66,269,697 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 66,269,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,269,697) = 1

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

GCF(66,269,697) x common factors =1 x 1 = 1

LCM(66,269,697) = ( 66 × 269 × 697 ) / 1

LCM(66,269,697) = 12374538 / 1

LCM(66,269,697) = 12374538


Lets's calculate GCF of 16,26,169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12374538/1

Therefore the LCM of Fractions 66/16,269/26,697/169 is 12374538

Greatest Common Factor of 16,26,169 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,26,169 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Greatest Common Factor

We found the factors 16,26,169 . The biggest common factor number is the GCF number.
So the greatest common factor 16,26,169 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 66/16, 269/26, 697/169

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 66/16, 269/26, 697/169?

Answer: LCM of Numerators as per given numbers 66/16, 269/26, 697/169 is

LCM of Numerators i.e. for 66,269,697 is 12374538

GCF of denominators i.e. for 16,26,169 is 1.

Thus, LCM of Fractions is 12374538.Finally, LCM of Fractions for 66/16, 269/26, 697/169 is 12374538.