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LCM of 588, 342, 858, 714

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


Find the LCM of 588, 342, 858, 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 588, 342, 858, 714. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 588,342,858,714

Given numbers are 588,342,858,714

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

The LCM of 588,342,858,714 is 81477396.

Find LCM of 588,342,858,714 with Prime Factorization


2 588, 342, 858, 714
3 294, 171, 429, 357
7 98, 57, 143, 119
14, 57, 143, 17

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

2 x 3 x 7 x 14 x 57 x 143 x 17 = 81477396

Therefore, the lowest common multiple of 588,342,858,714 is 81477396.

LCM Formula to Find Lowest Common Multiple of 588,342,858,714

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.

588 x 342 x 858 x 714 = 123193822752

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.

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

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

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 588,342,858,714, is 6.

Now, the common factors can be found like this.

588:2x 2x 3x 7x 7

342:2x 3x 3x 19

858:2x 3x 11x 13

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 3x 7 = 252

Therefore, the value for common factors is 252.

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 = 123193822752/(6x252)

LCM = 123193822752/1512

LCM = 81477396

Thus, we can understand that the LCM of 588,342,858,714 is 81477396.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 588, 342, 858, 714

1. What is the LCM of 588, 342, 858, 714?

Answer: LCM of 588, 342, 858, 714 is 81477396.

2. How to calculate the LCM of 588, 342, 858, 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 588, 342, 858, 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}.