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LCM of 861, 746, 583, 212

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


Find the LCM of 861, 746, 583, 212 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 861, 746, 583, 212. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 861,746,583,212

Given numbers are 861,746,583,212

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

The LCM of 861,746,583,212 is 748928796.

Find LCM of 861,746,583,212 with Prime Factorization


2 861, 746, 583, 212
53 861, 373, 583, 106
861, 373, 11, 2

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

2 x 53 x 861 x 373 x 11 x 2 = 748928796

Therefore, the lowest common multiple of 861,746,583,212 is 748928796.

LCM Formula to Find Lowest Common Multiple of 861,746,583,212

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.

861 x 746 x 583 x 212 = 79386452376

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.

861 : 1, 3, 7, 21, 41, 123, 287, 861

746 : 1, 2, 373, 746

583 : 1, 11, 53, 583

212 : 1, 2, 4, 53, 106, 212

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,746,583,212, is 1.

Now, the common factors can be found like this.

861:3x 7x 41

746:2x 373

583:11x 53

212:2x 2x 53

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

2x 53 = 106

Therefore, the value for common factors is 106.

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 = 79386452376/(1x106)

LCM = 79386452376/106

LCM = 748928796

Thus, we can understand that the LCM of 861,746,583,212 is 748928796.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 861, 746, 583, 212

1. What is the LCM of 861, 746, 583, 212?

Answer: LCM of 861, 746, 583, 212 is 748928796.

2. How to calculate the LCM of 861, 746, 583, 212?

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 861, 746, 583, 212.

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}.