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LCM of 601, 475, 768, 893

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


Find the LCM of 601, 475, 768, 893 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 601, 475, 768, 893. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 601,475,768,893

Given numbers are 601,475,768,893

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

The LCM of 601,475,768,893 is 10304505600.

Find LCM of 601,475,768,893 with Prime Factorization


19 601, 475, 768, 893
601, 25, 768, 47

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

19 x 601 x 25 x 768 x 47 = 10304505600

Therefore, the lowest common multiple of 601,475,768,893 is 10304505600.

LCM Formula to Find Lowest Common Multiple of 601,475,768,893

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.

601 x 475 x 768 x 893 = 195785606400

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.

601 : 1, 601

475 : 1, 5, 19, 25, 95, 475

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

893 : 1, 19, 47, 893

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 601,475,768,893, is 1.

Now, the common factors can be found like this.

601:601

475:5x 5x 19

768:2x 2x 2x 2x 2x 2x 2x 2x 3

893:19x 47

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

19 = 19

Therefore, the value for common factors is 19.

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 = 195785606400/(1x19)

LCM = 195785606400/19

LCM = 10304505600

Thus, we can understand that the LCM of 601,475,768,893 is 10304505600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 601, 475, 768, 893

1. What is the LCM of 601, 475, 768, 893?

Answer: LCM of 601, 475, 768, 893 is 10304505600.

2. How to calculate the LCM of 601, 475, 768, 893?

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 601, 475, 768, 893.

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}.