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LCM of 562, 493, 228, 893

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


Find the LCM of 562, 493, 228, 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 562, 493, 228, 893. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 562,493,228,893

Given numbers are 562,493,228,893

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

The LCM of 562,493,228,893 is 1484519628.

Find LCM of 562,493,228,893 with Prime Factorization


2 562, 493, 228, 893
19 281, 493, 114, 893
281, 493, 6, 47

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

2 x 19 x 281 x 493 x 6 x 47 = 1484519628

Therefore, the lowest common multiple of 562,493,228,893 is 1484519628.

LCM Formula to Find Lowest Common Multiple of 562,493,228,893

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.

562 x 493 x 228 x 893 = 56411745864

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.

562 : 1, 2, 281, 562

493 : 1, 17, 29, 493

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

893 : 1, 19, 47, 893

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 562,493,228,893, is 1.

Now, the common factors can be found like this.

562:2x 281

493:17x 29

228:2x 2x 3x 19

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.

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 56411745864/(1x38)

LCM = 56411745864/38

LCM = 1484519628

Thus, we can understand that the LCM of 562,493,228,893 is 1484519628.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 562, 493, 228, 893

1. What is the LCM of 562, 493, 228, 893?

Answer: LCM of 562, 493, 228, 893 is 1484519628.

2. How to calculate the LCM of 562, 493, 228, 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 562, 493, 228, 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}.