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LCM of 899, 293, 496, 588

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


Find the LCM of 899, 293, 496, 588 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 899, 293, 496, 588. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 899,293,496,588

Given numbers are 899,293,496,588

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

The LCM of 899,293,496,588 is 619533264.

Find LCM of 899,293,496,588 with Prime Factorization


2 899, 293, 496, 588
2 899, 293, 248, 294
31 899, 293, 124, 147
29, 293, 4, 147

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

2 x 2 x 31 x 29 x 293 x 4 x 147 = 619533264

Therefore, the lowest common multiple of 899,293,496,588 is 619533264.

LCM Formula to Find Lowest Common Multiple of 899,293,496,588

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.

899 x 293 x 496 x 588 = 76822124736

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.

899 : 1, 29, 31, 899

293 : 1, 293

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 899,293,496,588, is 1.

Now, the common factors can be found like this.

899:29x 31

293:293

496:2x 2x 2x 2x 31

588:2x 2x 3x 7x 7

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

2x 2x 31 = 124

Therefore, the value for common factors is 124.

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 = 76822124736/(1x124)

LCM = 76822124736/124

LCM = 619533264

Thus, we can understand that the LCM of 899,293,496,588 is 619533264.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 899, 293, 496, 588

1. What is the LCM of 899, 293, 496, 588?

Answer: LCM of 899, 293, 496, 588 is 619533264.

2. How to calculate the LCM of 899, 293, 496, 588?

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 899, 293, 496, 588.

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}.