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LCM of 806, 612, 350, 714

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


Find the LCM of 806, 612, 350, 714 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 806, 612, 350, 714. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 806,612,350,714

Given numbers are 806,612,350,714

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

The LCM of 806,612,350,714 is 43161300.

Find LCM of 806,612,350,714 with Prime Factorization


2 806, 612, 350, 714
3 403, 306, 175, 357
7 403, 102, 175, 119
17 403, 102, 25, 17
403, 6, 25, 1

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

2 x 3 x 7 x 17 x 403 x 6 x 25 x 1 = 43161300

Therefore, the lowest common multiple of 806,612,350,714 is 43161300.

LCM Formula to Find Lowest Common Multiple of 806,612,350,714

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.

806 x 612 x 350 x 714 = 123268672800

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.

806 : 1, 2, 13, 26, 31, 62, 403, 806

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,612,350,714, is 2.

Now, the common factors can be found like this.

806:2x 13x 31

612:2x 2x 3x 3x 17

350:2x 5x 5x 7

714:2x 3x 7x 17

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 3x 7x 17 = 1428

Therefore, the value for common factors is 1428.

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 = 123268672800/(2x1428)

LCM = 123268672800/2856

LCM = 43161300

Thus, we can understand that the LCM of 806,612,350,714 is 43161300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 806, 612, 350, 714

1. What is the LCM of 806, 612, 350, 714?

Answer: LCM of 806, 612, 350, 714 is 43161300.

2. How to calculate the LCM of 806, 612, 350, 714?

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 806, 612, 350, 714.

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}.