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LCM of 442, 975, 733, 733

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


Find the LCM of 442, 975, 733, 733 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 442, 975, 733, 733. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 442,975,733,733

Given numbers are 442,975,733,733

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

The LCM of 442,975,733,733 is 24298950.

Find LCM of 442,975,733,733 with Prime Factorization


13 442, 975, 733, 733
733 34, 75, 733, 733
34, 75, 1, 1

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

13 x 733 x 34 x 75 x 1 x 1 = 24298950

Therefore, the lowest common multiple of 442,975,733,733 is 24298950.

LCM Formula to Find Lowest Common Multiple of 442,975,733,733

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.

442 x 975 x 733 x 733 = 231544694550

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.

442 : 1, 2, 13, 17, 26, 34, 221, 442

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

733 : 1, 733

733 : 1, 733

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,975,733,733, is 1.

Now, the common factors can be found like this.

442:2x 13x 17

975:3x 5x 5x 13

733:733

733:733

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

13x 733 = 9529

Therefore, the value for common factors is 9529.

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 = 231544694550/(1x9529)

LCM = 231544694550/9529

LCM = 24298950

Thus, we can understand that the LCM of 442,975,733,733 is 24298950.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 442, 975, 733, 733

1. What is the LCM of 442, 975, 733, 733?

Answer: LCM of 442, 975, 733, 733 is 24298950.

2. How to calculate the LCM of 442, 975, 733, 733?

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 442, 975, 733, 733.

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}.