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LCM of 856, 466, 728, 715

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


Find the LCM of 856, 466, 728, 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 856, 466, 728, 715. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 856,466,728,715

Given numbers are 856,466,728,715

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

The LCM of 856,466,728,715 is 998237240.

Find LCM of 856,466,728,715 with Prime Factorization


2 856, 466, 728, 715
2 428, 233, 364, 715
2 214, 233, 182, 715
13 107, 233, 91, 715
107, 233, 7, 55

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

2 x 2 x 2 x 13 x 107 x 233 x 7 x 55 = 998237240

Therefore, the lowest common multiple of 856,466,728,715 is 998237240.

LCM Formula to Find Lowest Common Multiple of 856,466,728,715

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.

856 x 466 x 728 x 715 = 207633345920

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.

856 : 1, 2, 4, 8, 107, 214, 428, 856

466 : 1, 2, 233, 466

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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 856,466,728,715, is 1.

Now, the common factors can be found like this.

856:2x 2x 2x 107

466:2x 233

728:2x 2x 2x 7x 13

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 13 = 208

Therefore, the value for common factors is 208.

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 = 207633345920/(1x208)

LCM = 207633345920/208

LCM = 998237240

Thus, we can understand that the LCM of 856,466,728,715 is 998237240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 856, 466, 728, 715

1. What is the LCM of 856, 466, 728, 715?

Answer: LCM of 856, 466, 728, 715 is 998237240.

2. How to calculate the LCM of 856, 466, 728, 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 856, 466, 728, 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}.