Least Common Multiple of 162/662, 386/634, 363/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 162/662, 386/634, 363/784 quickly i.e. 1891593 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 162/662, 386/634, 363/784 is 1891593.

LCM(162/662, 386/634, 363/784) = 1891593

LCM of 162/662, 386/634, 363/784

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 162/662,386/634,363/784

Given numbers are 162/662,386/634,363/784

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 162,386,363

Least Common Multiple of Numerators i.e. LCM of 162,386,363 is 3783186.

GCF of Denominators means GCF of 662,634,784 as per the given fractions.

GCF of 662,634,784 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 162,386,363

LCM of Fractions 162/662,386/634,363/784 is 1891593

2 162, 386, 363
3 81, 193, 363
27, 193, 121

∴ So the LCM of the given numbers is 2 x 3 x 27 x 193 x 121 = 3783186

Least Common Multiple of 162,386,363 with GCF Formula

Least Common Multiple of 162,386,363 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 162,386,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(162,386,363) = 1

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

GCF(162,386,363) x common factors =1 x 6 = 6

LCM(162,386,363) = ( 162 × 386 × 363 ) / 6

LCM(162,386,363) = 22699116 / 6

LCM(162,386,363) = 3783186


Lets's calculate GCF of 662,634,784

2 662, 634, 784
331, 317, 392

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3783186/2

Therefore the LCM of Fractions 162/662,386/634,363/784 is 1891593

Greatest Common Factor of 662,634,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 662,634,784 By Matching Biggest Common Factor Method

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 662,634,784 . The biggest common factor number is the GCF number.
So the greatest common factor 662,634,784 is 2.


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 162/662, 386/634, 363/784

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 162/662, 386/634, 363/784?

Answer: LCM of Numerators as per given numbers 162/662, 386/634, 363/784 is

LCM of Numerators i.e. for 162,386,363 is 3783186

GCF of denominators i.e. for 662,634,784 is 2.

Thus, LCM of Fractions is 1891593.Finally, LCM of Fractions for 162/662, 386/634, 363/784 is 1891593.