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LCM of 511, 478, 730, 862

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


Find the LCM of 511, 478, 730, 862 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 511, 478, 730, 862. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 511,478,730,862

Given numbers are 511,478,730,862

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

The LCM of 511,478,730,862 is 526375990.

Find LCM of 511,478,730,862 with Prime Factorization


2 511, 478, 730, 862
73 511, 239, 365, 431
7, 239, 5, 431

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

2 x 73 x 7 x 239 x 5 x 431 = 526375990

Therefore, the lowest common multiple of 511,478,730,862 is 526375990.

LCM Formula to Find Lowest Common Multiple of 511,478,730,862

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.

511 x 478 x 730 x 862 = 153701789080

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.

511 : 1, 7, 73, 511

478 : 1, 2, 239, 478

730 : 1, 2, 5, 10, 73, 146, 365, 730

862 : 1, 2, 431, 862

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 511,478,730,862, is 1.

Now, the common factors can be found like this.

511:7x 73

478:2x 239

730:2x 5x 73

862:2x 431

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 73 = 292

Therefore, the value for common factors is 292.

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 = 153701789080/(1x292)

LCM = 153701789080/292

LCM = 526375990

Thus, we can understand that the LCM of 511,478,730,862 is 526375990.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 511, 478, 730, 862

1. What is the LCM of 511, 478, 730, 862?

Answer: LCM of 511, 478, 730, 862 is 526375990.

2. How to calculate the LCM of 511, 478, 730, 862?

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 511, 478, 730, 862.

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}.