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LCM of 714, 529, 806

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


Find the LCM of 714, 529, 806 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 714, 529, 806. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 714,529,806

Given numbers are 714,529,806

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

The LCM of 714,529,806 is 152215518.

Find LCM of 714,529,806 with Prime Factorization


2 714, 529, 806
357, 529, 403

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

2 x 357 x 529 x 403 = 152215518

Therefore, the lowest common multiple of 714,529,806 is 152215518.

LCM Formula to Find Lowest Common Multiple of 714,529,806

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.

714 x 529 x 806 = 304431036

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.

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

529 : 1, 23, 529

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,529,806, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

529:23x 23

806:2x 13x 31

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 = 304431036/(1x2)

LCM = 304431036/2

LCM = 152215518

Thus, we can understand that the LCM of 714,529,806 is 152215518.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 714, 529, 806

1. What is the LCM of 714, 529, 806?

Answer: LCM of 714, 529, 806 is 152215518.

2. How to calculate the LCM of 714, 529, 806?

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 714, 529, 806.

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}.