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LCM of 652, 886, 556, 553, 426

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


Find the LCM of 652, 886, 556, 553, 426 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 652, 886, 556, 553, 426. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 652,886,556,553,426

Given numbers are 652,886,556,553,426

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

The LCM of 652,886,556,553,426 is 4729016800956.

Find LCM of 652,886,556,553,426 with Prime Factorization


2 652, 886, 556, 553, 426
2 326, 443, 278, 553, 213
163, 443, 139, 553, 213

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

2 x 2 x 163 x 443 x 139 x 553 x 213 = 4729016800956

Therefore, the lowest common multiple of 652,886,556,553,426 is 4729016800956.

LCM Formula to Find Lowest Common Multiple of 652,886,556,553,426

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.

652 x 886 x 556 x 553 x 426 = 75664268815296

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.

652 : 1, 2, 4, 163, 326, 652

886 : 1, 2, 443, 886

556 : 1, 2, 4, 139, 278, 556

553 : 1, 7, 79, 553

426 : 1, 2, 3, 6, 71, 142, 213, 426

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 652,886,556,553,426, is 1.

Now, the common factors can be found like this.

652:2x 2x 163

886:2x 443

556:2x 2x 139

553:7x 79

426:2x 3x 71

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 2 = 16

Therefore, the value for common factors is 16.

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 = 75664268815296/(1x16)

LCM = 75664268815296/16

LCM = 4729016800956

Thus, we can understand that the LCM of 652,886,556,553,426 is 4729016800956.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 652, 886, 556, 553, 426

1. What is the LCM of 652, 886, 556, 553, 426?

Answer: LCM of 652, 886, 556, 553, 426 is 4729016800956.

2. How to calculate the LCM of 652, 886, 556, 553, 426?

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 652, 886, 556, 553, 426.

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}.