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LCM of 632, 901, 128, 799, 558

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


Find the LCM of 632, 901, 128, 799, 558 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 632, 901, 128, 799, 558. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 632,901,128,799,558

Given numbers are 632,901,128,799,558

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

The LCM of 632,901,128,799,558 is 119471389056.

Find LCM of 632,901,128,799,558 with Prime Factorization


2 632, 901, 128, 799, 558
2 316, 901, 64, 799, 279
2 158, 901, 32, 799, 279
17 79, 901, 16, 799, 279
79, 53, 16, 47, 279

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

2 x 2 x 2 x 17 x 79 x 53 x 16 x 47 x 279 = 119471389056

Therefore, the lowest common multiple of 632,901,128,799,558 is 119471389056.

LCM Formula to Find Lowest Common Multiple of 632,901,128,799,558

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.

632 x 901 x 128 x 799 x 558 = 32496217823232

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.

632 : 1, 2, 4, 8, 79, 158, 316, 632

901 : 1, 17, 53, 901

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

799 : 1, 17, 47, 799

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 632,901,128,799,558, is 1.

Now, the common factors can be found like this.

632:2x 2x 2x 79

901:17x 53

128:2x 2x 2x 2x 2x 2x 2

799:17x 47

558:2x 3x 3x 31

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 2x 2x 17 = 272

Therefore, the value for common factors is 272.

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 = 32496217823232/(1x272)

LCM = 32496217823232/272

LCM = 119471389056

Thus, we can understand that the LCM of 632,901,128,799,558 is 119471389056.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 632, 901, 128, 799, 558

1. What is the LCM of 632, 901, 128, 799, 558?

Answer: LCM of 632, 901, 128, 799, 558 is 119471389056.

2. How to calculate the LCM of 632, 901, 128, 799, 558?

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 632, 901, 128, 799, 558.

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}.