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LCM of 336, 712, 662, 564

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


Find the LCM of 336, 712, 662, 564 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 336, 712, 662, 564. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 336,712,662,564

Given numbers are 336,712,662,564

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

The LCM of 336,712,662,564 is 465216528.

Find LCM of 336,712,662,564 with Prime Factorization


2 336, 712, 662, 564
2 168, 356, 331, 282
2 84, 178, 331, 141
3 42, 89, 331, 141
14, 89, 331, 47

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

2 x 2 x 2 x 3 x 14 x 89 x 331 x 47 = 465216528

Therefore, the lowest common multiple of 336,712,662,564 is 465216528.

LCM Formula to Find Lowest Common Multiple of 336,712,662,564

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.

336 x 712 x 662 x 564 = 89321573376

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.

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

712 : 1, 2, 4, 8, 89, 178, 356, 712

662 : 1, 2, 331, 662

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,712,662,564, is 2.

Now, the common factors can be found like this.

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

712:2x 2x 2x 89

662:2x 331

564:2x 2x 3x 47

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 3 = 96

Therefore, the value for common factors is 96.

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 = 89321573376/(2x96)

LCM = 89321573376/192

LCM = 465216528

Thus, we can understand that the LCM of 336,712,662,564 is 465216528.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 336, 712, 662, 564

1. What is the LCM of 336, 712, 662, 564?

Answer: LCM of 336, 712, 662, 564 is 465216528.

2. How to calculate the LCM of 336, 712, 662, 564?

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 336, 712, 662, 564.

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}.