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LCM of 607, 310, 899, 852

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


Find the LCM of 607, 310, 899, 852 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 607, 310, 899, 852. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 607,310,899,852

Given numbers are 607,310,899,852

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

The LCM of 607,310,899,852 is 2324652180.

Find LCM of 607,310,899,852 with Prime Factorization


2 607, 310, 899, 852
31 607, 155, 899, 426
607, 5, 29, 426

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

2 x 31 x 607 x 5 x 29 x 426 = 2324652180

Therefore, the lowest common multiple of 607,310,899,852 is 2324652180.

LCM Formula to Find Lowest Common Multiple of 607,310,899,852

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.

607 x 310 x 899 x 852 = 144128435160

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.

607 : 1, 607

310 : 1, 2, 5, 10, 31, 62, 155, 310

899 : 1, 29, 31, 899

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 607,310,899,852, is 1.

Now, the common factors can be found like this.

607:607

310:2x 5x 31

899:29x 31

852:2x 2x 3x 71

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

2x 31 = 62

Therefore, the value for common factors is 62.

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 = 144128435160/(1x62)

LCM = 144128435160/62

LCM = 2324652180

Thus, we can understand that the LCM of 607,310,899,852 is 2324652180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 607, 310, 899, 852

1. What is the LCM of 607, 310, 899, 852?

Answer: LCM of 607, 310, 899, 852 is 2324652180.

2. How to calculate the LCM of 607, 310, 899, 852?

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 607, 310, 899, 852.

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}.