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LCM of 651, 336, 533, 112, 566

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


Find the LCM of 651, 336, 533, 112, 566 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 651, 336, 533, 112, 566. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 651,336,533,112,566

Given numbers are 651,336,533,112,566

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

The LCM of 651,336,533,112,566 is 1571139024.

Find LCM of 651,336,533,112,566 with Prime Factorization


2 651, 336, 533, 112, 566
2 651, 168, 533, 56, 283
2 651, 84, 533, 28, 283
2 651, 42, 533, 14, 283
3 651, 21, 533, 7, 283
7 217, 7, 533, 7, 283
31, 1, 533, 1, 283

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

2 x 2 x 2 x 2 x 3 x 7 x 31 x 1 x 533 x 1 x 283 = 1571139024

Therefore, the lowest common multiple of 651,336,533,112,566 is 1571139024.

LCM Formula to Find Lowest Common Multiple of 651,336,533,112,566

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.

651 x 336 x 533 x 112 x 566 = 7390637968896

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.

651 : 1, 3, 7, 21, 31, 93, 217, 651

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

533 : 1, 13, 41, 533

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

566 : 1, 2, 283, 566

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 651,336,533,112,566, is 1.

Now, the common factors can be found like this.

651:3x 7x 31

336:2x 2x 2x 2x 3x 7

533:13x 41

112:2x 2x 2x 2x 7

566:2x 283

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 2x 3x 7x 7 = 4704

Therefore, the value for common factors is 4704.

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 = 7390637968896/(1x4704)

LCM = 7390637968896/4704

LCM = 1571139024

Thus, we can understand that the LCM of 651,336,533,112,566 is 1571139024.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 651, 336, 533, 112, 566

1. What is the LCM of 651, 336, 533, 112, 566?

Answer: LCM of 651, 336, 533, 112, 566 is 1571139024.

2. How to calculate the LCM of 651, 336, 533, 112, 566?

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 651, 336, 533, 112, 566.

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}.