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LCM of 443, 138, 959, 575, 782

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 443, 138, 959, 575, 782 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 443, 138, 959, 575, 782. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 443,138,959,575,782

Given numbers are 443,138,959,575,782

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 443,138,959,575,782 is 24916690050.

Find LCM of 443,138,959,575,782 with Prime Factorization


2 443, 138, 959, 575, 782
23 443, 69, 959, 575, 391
443, 3, 959, 25, 17

Multiply the prime numbers at the bottom and the left side.

2 x 23 x 443 x 3 x 959 x 25 x 17 = 24916690050

Therefore, the lowest common multiple of 443,138,959,575,782 is 24916690050.

LCM Formula to Find Lowest Common Multiple of 443,138,959,575,782

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

443 x 138 x 959 x 575 x 782 = 26361858072900

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

443 : 1, 443

138 : 1, 2, 3, 6, 23, 46, 69, 138

959 : 1, 7, 137, 959

575 : 1, 5, 23, 25, 115, 575

782 : 1, 2, 17, 23, 34, 46, 391, 782

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 443,138,959,575,782, is 1.

Now, the common factors can be found like this.

443:443

138:2x 3x 23

959:7x 137

575:5x 5x 23

782:2x 17x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 23x 23 = 1058

Therefore, the value for common factors is 1058.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 26361858072900/(1x1058)

LCM = 26361858072900/1058

LCM = 24916690050

Thus, we can understand that the LCM of 443,138,959,575,782 is 24916690050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 443, 138, 959, 575, 782

1. What is the LCM of 443, 138, 959, 575, 782?

Answer: LCM of 443, 138, 959, 575, 782 is 24916690050.

2. How to calculate the LCM of 443, 138, 959, 575, 782?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 443, 138, 959, 575, 782.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.