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LCM of 387, 412, 653, 856

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


Find the LCM of 387, 412, 653, 856 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 387, 412, 653, 856. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 387,412,653,856

Given numbers are 387,412,653,856

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

The LCM of 387,412,653,856 is 22281023448.

Find LCM of 387,412,653,856 with Prime Factorization


2 387, 412, 653, 856
2 387, 206, 653, 428
387, 103, 653, 214

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

2 x 2 x 387 x 103 x 653 x 214 = 22281023448

Therefore, the lowest common multiple of 387,412,653,856 is 22281023448.

LCM Formula to Find Lowest Common Multiple of 387,412,653,856

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.

387 x 412 x 653 x 856 = 89124093792

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.

387 : 1, 3, 9, 43, 129, 387

412 : 1, 2, 4, 103, 206, 412

653 : 1, 653

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,412,653,856, is 1.

Now, the common factors can be found like this.

387:3x 3x 43

412:2x 2x 103

653:653

856:2x 2x 2x 107

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 89124093792/(1x4)

LCM = 89124093792/4

LCM = 22281023448

Thus, we can understand that the LCM of 387,412,653,856 is 22281023448.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 387, 412, 653, 856

1. What is the LCM of 387, 412, 653, 856?

Answer: LCM of 387, 412, 653, 856 is 22281023448.

2. How to calculate the LCM of 387, 412, 653, 856?

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 387, 412, 653, 856.

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}.