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LCM of 893, 943, 391, 765, 512

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


Find the LCM of 893, 943, 391, 765, 512 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 893, 943, 391, 765, 512. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 893,943,391,765,512

Given numbers are 893,943,391,765,512

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

The LCM of 893,943,391,765,512 is 329833336320.

Find LCM of 893,943,391,765,512 with Prime Factorization


17 893, 943, 391, 765, 512
23 893, 943, 23, 45, 512
893, 41, 1, 45, 512

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

17 x 23 x 893 x 41 x 1 x 45 x 512 = 329833336320

Therefore, the lowest common multiple of 893,943,391,765,512 is 329833336320.

LCM Formula to Find Lowest Common Multiple of 893,943,391,765,512

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.

893 x 943 x 391 x 765 x 512 = 128964834501120

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.

893 : 1, 19, 47, 893

943 : 1, 23, 41, 943

391 : 1, 17, 23, 391

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,943,391,765,512, is 1.

Now, the common factors can be found like this.

893:19x 47

943:23x 41

391:17x 23

765:3x 3x 5x 17

512:2x 2x 2x 2x 2x 2x 2x 2x 2

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

17x 23 = 391

Therefore, the value for common factors is 391.

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 = 128964834501120/(1x391)

LCM = 128964834501120/391

LCM = 329833336320

Thus, we can understand that the LCM of 893,943,391,765,512 is 329833336320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 893, 943, 391, 765, 512

1. What is the LCM of 893, 943, 391, 765, 512?

Answer: LCM of 893, 943, 391, 765, 512 is 329833336320.

2. How to calculate the LCM of 893, 943, 391, 765, 512?

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 893, 943, 391, 765, 512.

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}.