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LCM of 308, 429, 555, 398, 710

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


Find the LCM of 308, 429, 555, 398, 710 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 308, 429, 555, 398, 710. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 308,429,555,398,710

Given numbers are 308,429,555,398,710

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

The LCM of 308,429,555,398,710 is 31397746380.

Find LCM of 308,429,555,398,710 with Prime Factorization


2 308, 429, 555, 398, 710
3 154, 429, 555, 199, 355
5 154, 143, 185, 199, 355
11 154, 143, 37, 199, 71
14, 13, 37, 199, 71

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

2 x 3 x 5 x 11 x 14 x 13 x 37 x 199 x 71 = 31397746380

Therefore, the lowest common multiple of 308,429,555,398,710 is 31397746380.

LCM Formula to Find Lowest Common Multiple of 308,429,555,398,710

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.

308 x 429 x 555 x 398 x 710 = 20722512610800

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.

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

429 : 1, 3, 11, 13, 33, 39, 143, 429

555 : 1, 3, 5, 15, 37, 111, 185, 555

398 : 1, 2, 199, 398

710 : 1, 2, 5, 10, 71, 142, 355, 710

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,429,555,398,710, is 1.

Now, the common factors can be found like this.

308:2x 2x 7x 11

429:3x 11x 13

555:3x 5x 37

398:2x 199

710:2x 5x 71

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 5x 11 = 660

Therefore, the value for common factors is 660.

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 = 20722512610800/(1x660)

LCM = 20722512610800/660

LCM = 31397746380

Thus, we can understand that the LCM of 308,429,555,398,710 is 31397746380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 308, 429, 555, 398, 710

1. What is the LCM of 308, 429, 555, 398, 710?

Answer: LCM of 308, 429, 555, 398, 710 is 31397746380.

2. How to calculate the LCM of 308, 429, 555, 398, 710?

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 308, 429, 555, 398, 710.

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}.