Least Common Multiple of 64/27, 68/62, 169/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/27, 68/62, 169/924 quickly i.e. 183872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/27, 68/62, 169/924 is 183872.

LCM(64/27, 68/62, 169/924) = 183872

LCM of 64/27, 68/62, 169/924

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 64/27,68/62,169/924

Given numbers are 64/27,68/62,169/924

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 64,68,169

Least Common Multiple of Numerators i.e. LCM of 64,68,169 is 183872.

GCF of Denominators means GCF of 27,62,924 as per the given fractions.

GCF of 27,62,924 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,68,169

LCM of Fractions 64/27,68/62,169/924 is 183872

2 64, 68, 169
2 32, 34, 169
16, 17, 169

∴ So the LCM of the given numbers is 2 x 2 x 16 x 17 x 169 = 183872

Least Common Multiple of 64,68,169 with GCF Formula

Least Common Multiple of 64,68,169 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 64,68,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,68,169) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(64,68,169) x common factors =1 x 4 = 4

LCM(64,68,169) = ( 64 × 68 × 169 ) / 4

LCM(64,68,169) = 735488 / 4

LCM(64,68,169) = 183872


Lets's calculate GCF of 27,62,924

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 183872/1

Therefore the LCM of Fractions 64/27,68/62,169/924 is 183872

Greatest Common Factor of 27,62,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,62,924 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 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 27,62,924 . The biggest common factor number is the GCF number.
So the greatest common factor 27,62,924 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 64/27, 68/62, 169/924

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 64/27, 68/62, 169/924?

Answer: LCM of Numerators as per given numbers 64/27, 68/62, 169/924 is

LCM of Numerators i.e. for 64,68,169 is 183872

GCF of denominators i.e. for 27,62,924 is 1.

Thus, LCM of Fractions is 183872.Finally, LCM of Fractions for 64/27, 68/62, 169/924 is 183872.