Least Common Multiple of 830/24, 816/1144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 830/24, 816/1144 quickly i.e. 42330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 830/24, 816/1144 is 42330.

LCM(830/24, 816/1144) = 42330

LCM of 830/24, 816/1144

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 830/24,816/1144

Given numbers are 830/24,816/1144

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 830,816

Least Common Multiple of Numerators i.e. LCM of 830,816 is 338640.

GCF of Denominators means GCF of 24,1144 as per the given fractions.

GCF of 24,1144 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 830,816

LCM of Fractions 830/24,816/1144 is 42330

2 830, 816
415, 408

∴ So the LCM of the given numbers is 2 x 415 x 408 = 338640

Least Common Multiple of 830,816 with GCF Formula

Least Common Multiple of 830,816 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 830,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(830,816) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(830,816) x common factors =2 x 1 = 2

LCM(830,816) = ( 830 × 816 ) / 2

LCM(830,816) = 677280 / 2

LCM(830,816) = 338640


Lets's calculate GCF of 24,1144

2 24, 1144
2 12, 572
2 6, 286
3, 143

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 338640/8

Therefore the LCM of Fractions 830/24,816/1144 is 42330

Greatest Common Factor of 24,1144 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,1144 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 1144

List of positive integer factors of 1144 that divides 1144 without a remainder.

1,2,4,8,11,13,22,26,44,52,88,104,143,286,572,1144

Greatest Common Factor

We found the factors 24,1144 . The biggest common factor number is the GCF number.
So the greatest common factor 24,1144 is 8.


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 830/24, 816/1144

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 830/24, 816/1144?

Answer: LCM of Numerators as per given numbers 830/24, 816/1144 is

LCM of Numerators i.e. for 830,816 is 338640

GCF of denominators i.e. for 24,1144 is 8.

Thus, LCM of Fractions is 42330.Finally, LCM of Fractions for 830/24, 816/1144 is 42330.