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LCM of 790, 256, 533, 625, 757

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


Find the LCM of 790, 256, 533, 625, 757 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 790, 256, 533, 625, 757. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 790,256,533,625,757

Given numbers are 790,256,533,625,757

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

The LCM of 790,256,533,625,757 is 5099999840000.

Find LCM of 790,256,533,625,757 with Prime Factorization


2 790, 256, 533, 625, 757
5 395, 128, 533, 625, 757
79, 128, 533, 125, 757

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

2 x 5 x 79 x 128 x 533 x 125 x 757 = 5099999840000

Therefore, the lowest common multiple of 790,256,533,625,757 is 5099999840000.

LCM Formula to Find Lowest Common Multiple of 790,256,533,625,757

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.

790 x 256 x 533 x 625 x 757 = 50999998400000

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.

790 : 1, 2, 5, 10, 79, 158, 395, 790

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

533 : 1, 13, 41, 533

625 : 1, 5, 25, 125, 625

757 : 1, 757

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 790,256,533,625,757, is 1.

Now, the common factors can be found like this.

790:2x 5x 79

256:2x 2x 2x 2x 2x 2x 2x 2

533:13x 41

625:5x 5x 5x 5

757:757

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 50999998400000/(1x10)

LCM = 50999998400000/10

LCM = 5099999840000

Thus, we can understand that the LCM of 790,256,533,625,757 is 5099999840000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 790, 256, 533, 625, 757

1. What is the LCM of 790, 256, 533, 625, 757?

Answer: LCM of 790, 256, 533, 625, 757 is 5099999840000.

2. How to calculate the LCM of 790, 256, 533, 625, 757?

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 790, 256, 533, 625, 757.

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}.