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LCM of 592, 700, 858, 394, 714

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


Find the LCM of 592, 700, 858, 394, 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 592, 700, 858, 394, 714. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 592,700,858,394,714

Given numbers are 592,700,858,394,714

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

The LCM of 592,700,858,394,714 is 148844295600.

Find LCM of 592,700,858,394,714 with Prime Factorization


2 592, 700, 858, 394, 714
2 296, 350, 429, 197, 357
3 148, 175, 429, 197, 357
7 148, 175, 143, 197, 119
148, 25, 143, 197, 17

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

2 x 2 x 3 x 7 x 148 x 25 x 143 x 197 x 17 = 148844295600

Therefore, the lowest common multiple of 592,700,858,394,714 is 148844295600.

LCM Formula to Find Lowest Common Multiple of 592,700,858,394,714

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.

592 x 700 x 858 x 394 x 714 = 100023366643200

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.

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

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

394 : 1, 2, 197, 394

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 592,700,858,394,714, is 2.

Now, the common factors can be found like this.

592:2x 2x 2x 2x 37

700:2x 2x 5x 5x 7

858:2x 3x 11x 13

394:2x 197

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 2x 2x 3x 7 = 336

Therefore, the value for common factors is 336.

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 = 100023366643200/(2x336)

LCM = 100023366643200/672

LCM = 148844295600

Thus, we can understand that the LCM of 592,700,858,394,714 is 148844295600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 592, 700, 858, 394, 714

1. What is the LCM of 592, 700, 858, 394, 714?

Answer: LCM of 592, 700, 858, 394, 714 is 148844295600.

2. How to calculate the LCM of 592, 700, 858, 394, 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 592, 700, 858, 394, 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}.