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LCM of 709, 446, 580, 791, 152

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


Find the LCM of 709, 446, 580, 791, 152 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 709, 446, 580, 791, 152. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 709,446,580,791,152

Given numbers are 709,446,580,791,152

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

The LCM of 709,446,580,791,152 is 2756380519480.

Find LCM of 709,446,580,791,152 with Prime Factorization


2 709, 446, 580, 791, 152
2 709, 223, 290, 791, 76
709, 223, 145, 791, 38

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

2 x 2 x 709 x 223 x 145 x 791 x 38 = 2756380519480

Therefore, the lowest common multiple of 709,446,580,791,152 is 2756380519480.

LCM Formula to Find Lowest Common Multiple of 709,446,580,791,152

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.

709 x 446 x 580 x 791 x 152 = 22051044155840

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.

709 : 1, 709

446 : 1, 2, 223, 446

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

791 : 1, 7, 113, 791

152 : 1, 2, 4, 8, 19, 38, 76, 152

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,446,580,791,152, is 1.

Now, the common factors can be found like this.

709:709

446:2x 223

580:2x 2x 5x 29

791:7x 113

152:2x 2x 2x 19

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 2 = 8

Therefore, the value for common factors is 8.

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 = 22051044155840/(1x8)

LCM = 22051044155840/8

LCM = 2756380519480

Thus, we can understand that the LCM of 709,446,580,791,152 is 2756380519480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 709, 446, 580, 791, 152

1. What is the LCM of 709, 446, 580, 791, 152?

Answer: LCM of 709, 446, 580, 791, 152 is 2756380519480.

2. How to calculate the LCM of 709, 446, 580, 791, 152?

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 709, 446, 580, 791, 152.

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}.