Least Common Multiple of 416/824, 1824/786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 416/824, 1824/786 quickly i.e. 11856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 416/824, 1824/786 is 11856.

LCM(416/824, 1824/786) = 11856

LCM of 416/824, 1824/786

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 416/824,1824/786

Given numbers are 416/824,1824/786

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 416,1824

Least Common Multiple of Numerators i.e. LCM of 416,1824 is 23712.

GCF of Denominators means GCF of 824,786 as per the given fractions.

GCF of 824,786 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 416,1824

LCM of Fractions 416/824,1824/786 is 11856

2 416, 1824
2 208, 912
2 104, 456
2 52, 228
2 26, 114
13, 57

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 13 x 57 = 23712

Least Common Multiple of 416,1824 with GCF Formula

Least Common Multiple of 416,1824 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 416,1824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(416,1824) = 32

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

GCF(416,1824) x common factors =32 x 1 = 32

LCM(416,1824) = ( 416 × 1824 ) / 32

LCM(416,1824) = 758784 / 32

LCM(416,1824) = 23712


Lets's calculate GCF of 824,786

2 824, 786
412, 393

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23712/2

Therefore the LCM of Fractions 416/824,1824/786 is 11856

Greatest Common Factor of 824,786 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,786 By Matching Biggest Common Factor Method

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Greatest Common Factor

We found the factors 824,786 . The biggest common factor number is the GCF number.
So the greatest common factor 824,786 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 416/824, 1824/786

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 416/824, 1824/786?

Answer: LCM of Numerators as per given numbers 416/824, 1824/786 is

LCM of Numerators i.e. for 416,1824 is 23712

GCF of denominators i.e. for 824,786 is 2.

Thus, LCM of Fractions is 11856.Finally, LCM of Fractions for 416/824, 1824/786 is 11856.