Least Common Multiple of 456/14, 614/81, 994/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 456/14, 614/81, 994/984 quickly i.e. 69576024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 456/14, 614/81, 994/984 is 69576024.

LCM(456/14, 614/81, 994/984) = 69576024

LCM of 456/14, 614/81, 994/984

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 456/14,614/81,994/984

Given numbers are 456/14,614/81,994/984

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 456,614,994

Least Common Multiple of Numerators i.e. LCM of 456,614,994 is 69576024.

GCF of Denominators means GCF of 14,81,984 as per the given fractions.

GCF of 14,81,984 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 456,614,994

LCM of Fractions 456/14,614/81,994/984 is 69576024

2 456, 614, 994
228, 307, 497

∴ So the LCM of the given numbers is 2 x 228 x 307 x 497 = 69576024

Least Common Multiple of 456,614,994 with GCF Formula

Least Common Multiple of 456,614,994 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 456,614,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,614,994) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(456,614,994) x common factors =2 x 2 = 4

LCM(456,614,994) = ( 456 × 614 × 994 ) / 4

LCM(456,614,994) = 278304096 / 4

LCM(456,614,994) = 69576024


Lets's calculate GCF of 14,81,984

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69576024/1

Therefore the LCM of Fractions 456/14,614/81,994/984 is 69576024

Greatest Common Factor of 14,81,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,81,984 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 14,81,984 . The biggest common factor number is the GCF number.
So the greatest common factor 14,81,984 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 456/14, 614/81, 994/984

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 456/14, 614/81, 994/984?

Answer: LCM of Numerators as per given numbers 456/14, 614/81, 994/984 is

LCM of Numerators i.e. for 456,614,994 is 69576024

GCF of denominators i.e. for 14,81,984 is 1.

Thus, LCM of Fractions is 69576024.Finally, LCM of Fractions for 456/14, 614/81, 994/984 is 69576024.