Least Common Multiple of 66/462, 63/719, 816/653

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/462, 63/719, 816/653 quickly i.e. 188496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/462, 63/719, 816/653 is 188496.

LCM(66/462, 63/719, 816/653) = 188496

LCM of 66/462, 63/719, 816/653

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 66/462,63/719,816/653

Given numbers are 66/462,63/719,816/653

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 66,63,816

Least Common Multiple of Numerators i.e. LCM of 66,63,816 is 188496.

GCF of Denominators means GCF of 462,719,653 as per the given fractions.

GCF of 462,719,653 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,63,816

LCM of Fractions 66/462,63/719,816/653 is 188496

2 66, 63, 816
3 33, 63, 408
11, 21, 136

∴ So the LCM of the given numbers is 2 x 3 x 11 x 21 x 136 = 188496

Least Common Multiple of 66,63,816 with GCF Formula

Least Common Multiple of 66,63,816 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 66,63,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,63,816) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(66,63,816) x common factors =3 x 6 = 18

LCM(66,63,816) = ( 66 × 63 × 816 ) / 18

LCM(66,63,816) = 3392928 / 18

LCM(66,63,816) = 188496


Lets's calculate GCF of 462,719,653

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 188496/1

Therefore the LCM of Fractions 66/462,63/719,816/653 is 188496

Greatest Common Factor of 462,719,653 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,719,653 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Greatest Common Factor

We found the factors 462,719,653 . The biggest common factor number is the GCF number.
So the greatest common factor 462,719,653 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 66/462, 63/719, 816/653

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 66/462, 63/719, 816/653?

Answer: LCM of Numerators as per given numbers 66/462, 63/719, 816/653 is

LCM of Numerators i.e. for 66,63,816 is 188496

GCF of denominators i.e. for 462,719,653 is 1.

Thus, LCM of Fractions is 188496.Finally, LCM of Fractions for 66/462, 63/719, 816/653 is 188496.