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LCM of 639, 725, 434, 936, 568

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


Find the LCM of 639, 725, 434, 936, 568 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 639, 725, 434, 936, 568. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 639,725,434,936,568

Given numbers are 639,725,434,936,568

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

The LCM of 639,725,434,936,568 is 10455190200.

Find LCM of 639,725,434,936,568 with Prime Factorization


2 639, 725, 434, 936, 568
2 639, 725, 217, 468, 284
2 639, 725, 217, 234, 142
3 639, 725, 217, 117, 71
3 213, 725, 217, 39, 71
71 71, 725, 217, 13, 71
1, 725, 217, 13, 1

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

2 x 2 x 2 x 3 x 3 x 71 x 1 x 725 x 217 x 13 x 1 = 10455190200

Therefore, the lowest common multiple of 639,725,434,936,568 is 10455190200.

LCM Formula to Find Lowest Common Multiple of 639,725,434,936,568

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.

639 x 725 x 434 x 936 x 568 = 106893864604800

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.

639 : 1, 3, 9, 71, 213, 639

725 : 1, 5, 25, 29, 145, 725

434 : 1, 2, 7, 14, 31, 62, 217, 434

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

568 : 1, 2, 4, 8, 71, 142, 284, 568

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 639,725,434,936,568, is 1.

Now, the common factors can be found like this.

639:3x 3x 71

725:5x 5x 29

434:2x 7x 31

936:2x 2x 2x 3x 3x 13

568:2x 2x 2x 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 2x 3x 3x 71 = 10224

Therefore, the value for common factors is 10224.

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 = 106893864604800/(1x10224)

LCM = 106893864604800/10224

LCM = 10455190200

Thus, we can understand that the LCM of 639,725,434,936,568 is 10455190200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 639, 725, 434, 936, 568

1. What is the LCM of 639, 725, 434, 936, 568?

Answer: LCM of 639, 725, 434, 936, 568 is 10455190200.

2. How to calculate the LCM of 639, 725, 434, 936, 568?

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 639, 725, 434, 936, 568.

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}.