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LCM of 129, 602, 438, 822, 812

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


Find the LCM of 129, 602, 438, 822, 812 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 129, 602, 438, 822, 812. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 129,602,438,822,812

Given numbers are 129,602,438,822,812

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

The LCM of 129,602,438,822,812 is 1047584748.

Find LCM of 129,602,438,822,812 with Prime Factorization


2 129, 602, 438, 822, 812
3 129, 301, 219, 411, 406
7 43, 301, 73, 137, 406
43 43, 43, 73, 137, 58
1, 1, 73, 137, 58

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

2 x 3 x 7 x 43 x 1 x 1 x 73 x 137 x 58 = 1047584748

Therefore, the lowest common multiple of 129,602,438,822,812 is 1047584748.

LCM Formula to Find Lowest Common Multiple of 129,602,438,822,812

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.

129 x 602 x 438 x 822 x 812 = 22703256658656

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.

129 : 1, 3, 43, 129

602 : 1, 2, 7, 14, 43, 86, 301, 602

438 : 1, 2, 3, 6, 73, 146, 219, 438

822 : 1, 2, 3, 6, 137, 274, 411, 822

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 129,602,438,822,812, is 1.

Now, the common factors can be found like this.

129:3x 43

602:2x 7x 43

438:2x 3x 73

822:2x 3x 137

812:2x 2x 7x 29

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 3x 3x 7x 43 = 21672

Therefore, the value for common factors is 21672.

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 = 22703256658656/(1x21672)

LCM = 22703256658656/21672

LCM = 1047584748

Thus, we can understand that the LCM of 129,602,438,822,812 is 1047584748.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 129, 602, 438, 822, 812

1. What is the LCM of 129, 602, 438, 822, 812?

Answer: LCM of 129, 602, 438, 822, 812 is 1047584748.

2. How to calculate the LCM of 129, 602, 438, 822, 812?

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 129, 602, 438, 822, 812.

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}.