Least Common Multiple of 462/86, 368/18, 992/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 462/86, 368/18, 992/736 quickly i.e. 2635248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 462/86, 368/18, 992/736 is 2635248.

LCM(462/86, 368/18, 992/736) = 2635248

LCM of 462/86, 368/18, 992/736

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 462/86,368/18,992/736

Given numbers are 462/86,368/18,992/736

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 462,368,992

Least Common Multiple of Numerators i.e. LCM of 462,368,992 is 5270496.

GCF of Denominators means GCF of 86,18,736 as per the given fractions.

GCF of 86,18,736 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 462,368,992

LCM of Fractions 462/86,368/18,992/736 is 2635248

2 462, 368, 992
2 231, 184, 496
2 231, 92, 248
2 231, 46, 124
231, 23, 62

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 231 x 23 x 62 = 5270496

Least Common Multiple of 462,368,992 with GCF Formula

Least Common Multiple of 462,368,992 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 462,368,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,368,992) = 2

common factors(in case of two or more numbers have common factors) = 16

GCF(462,368,992) x common factors =2 x 16 = 32

LCM(462,368,992) = ( 462 × 368 × 992 ) / 32

LCM(462,368,992) = 168655872 / 32

LCM(462,368,992) = 5270496


Lets's calculate GCF of 86,18,736

2 86, 18, 736
43, 9, 368

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5270496/2

Therefore the LCM of Fractions 462/86,368/18,992/736 is 2635248

Greatest Common Factor of 86,18,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,18,736 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 86,18,736 . The biggest common factor number is the GCF number.
So the greatest common factor 86,18,736 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 462/86, 368/18, 992/736

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 462/86, 368/18, 992/736?

Answer: LCM of Numerators as per given numbers 462/86, 368/18, 992/736 is

LCM of Numerators i.e. for 462,368,992 is 5270496

GCF of denominators i.e. for 86,18,736 is 2.

Thus, LCM of Fractions is 2635248.Finally, LCM of Fractions for 462/86, 368/18, 992/736 is 2635248.