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LCM of 862, 433, 572, 866, 210

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


Find the LCM of 862, 433, 572, 866, 210 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 862, 433, 572, 866, 210. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 862,433,572,866,210

Given numbers are 862,433,572,866,210

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

The LCM of 862,433,572,866,210 is 11208577380.

Find LCM of 862,433,572,866,210 with Prime Factorization


2 862, 433, 572, 866, 210
433 431, 433, 286, 433, 105
431, 1, 286, 1, 105

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

2 x 433 x 431 x 1 x 286 x 1 x 105 = 11208577380

Therefore, the lowest common multiple of 862,433,572,866,210 is 11208577380.

LCM Formula to Find Lowest Common Multiple of 862,433,572,866,210

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.

862 x 433 x 572 x 866 x 210 = 38826512044320

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.

862 : 1, 2, 431, 862

433 : 1, 433

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

866 : 1, 2, 433, 866

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 862,433,572,866,210, is 1.

Now, the common factors can be found like this.

862:2x 431

433:433

572:2x 2x 11x 13

866:2x 433

210:2x 3x 5x 7

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 433 = 3464

Therefore, the value for common factors is 3464.

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 = 38826512044320/(1x3464)

LCM = 38826512044320/3464

LCM = 11208577380

Thus, we can understand that the LCM of 862,433,572,866,210 is 11208577380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 862, 433, 572, 866, 210

1. What is the LCM of 862, 433, 572, 866, 210?

Answer: LCM of 862, 433, 572, 866, 210 is 11208577380.

2. How to calculate the LCM of 862, 433, 572, 866, 210?

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 862, 433, 572, 866, 210.

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}.