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LCM of 862, 706, 859

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


Find the LCM of 862, 706, 859 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, 706, 859. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 862,706,859

Given numbers are 862,706,859

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

The LCM of 862,706,859 is 261381674.

Find LCM of 862,706,859 with Prime Factorization


2 862, 706, 859
431, 353, 859

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

2 x 431 x 353 x 859 = 261381674

Therefore, the lowest common multiple of 862,706,859 is 261381674.

LCM Formula to Find Lowest Common Multiple of 862,706,859

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 706 x 859 = 522763348

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

706 : 1, 2, 353, 706

859 : 1, 859

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 862,706,859, is 1.

Now, the common factors can be found like this.

862:2x 431

706:2x 353

859:859

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

2 = 2

Therefore, the value for common factors is 2.

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 = 522763348/(1x2)

LCM = 522763348/2

LCM = 261381674

Thus, we can understand that the LCM of 862,706,859 is 261381674.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 862, 706, 859

1. What is the LCM of 862, 706, 859?

Answer: LCM of 862, 706, 859 is 261381674.

2. How to calculate the LCM of 862, 706, 859?

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, 706, 859.

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}.