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LCM of 882, 214, 624, 612, 715

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


Find the LCM of 882, 214, 624, 612, 715 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 882, 214, 624, 612, 715. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 882,214,624,612,715

Given numbers are 882,214,624,612,715

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

The LCM of 882,214,624,612,715 is 9176927760.

Find LCM of 882,214,624,612,715 with Prime Factorization


2 882, 214, 624, 612, 715
2 441, 107, 312, 306, 715
3 441, 107, 156, 153, 715
3 147, 107, 52, 51, 715
13 49, 107, 52, 17, 715
49, 107, 4, 17, 55

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

2 x 2 x 3 x 3 x 13 x 49 x 107 x 4 x 17 x 55 = 9176927760

Therefore, the lowest common multiple of 882,214,624,612,715 is 9176927760.

LCM Formula to Find Lowest Common Multiple of 882,214,624,612,715

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.

882 x 214 x 624 x 612 x 715 = 51537626300160

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.

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

214 : 1, 2, 107, 214

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

715 : 1, 5, 11, 13, 55, 65, 143, 715

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,214,624,612,715, is 1.

Now, the common factors can be found like this.

882:2x 3x 3x 7x 7

214:2x 107

624:2x 2x 2x 2x 3x 13

612:2x 2x 3x 3x 17

715:5x 11x 13

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 3x 13 = 5616

Therefore, the value for common factors is 5616.

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 = 51537626300160/(1x5616)

LCM = 51537626300160/5616

LCM = 9176927760

Thus, we can understand that the LCM of 882,214,624,612,715 is 9176927760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 882, 214, 624, 612, 715

1. What is the LCM of 882, 214, 624, 612, 715?

Answer: LCM of 882, 214, 624, 612, 715 is 9176927760.

2. How to calculate the LCM of 882, 214, 624, 612, 715?

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 882, 214, 624, 612, 715.

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}.