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LCM of 888, 113, 349, 697, 698

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


Find the LCM of 888, 113, 349, 697, 698 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 888, 113, 349, 697, 698. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 888,113,349,697,698

Given numbers are 888,113,349,697,698

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

The LCM of 888,113,349,697,698 is 24408979032.

Find LCM of 888,113,349,697,698 with Prime Factorization


2 888, 113, 349, 697, 698
349 444, 113, 349, 697, 349
444, 113, 1, 697, 1

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

2 x 349 x 444 x 113 x 1 x 697 x 1 = 24408979032

Therefore, the lowest common multiple of 888,113,349,697,698 is 24408979032.

LCM Formula to Find Lowest Common Multiple of 888,113,349,697,698

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.

888 x 113 x 349 x 697 x 698 = 17037467364336

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.

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

113 : 1, 113

349 : 1, 349

697 : 1, 17, 41, 697

698 : 1, 2, 349, 698

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 888,113,349,697,698, is 1.

Now, the common factors can be found like this.

888:2x 2x 2x 3x 37

113:113

349:349

697:17x 41

698:2x 349

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 349 = 698

Therefore, the value for common factors is 698.

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 = 17037467364336/(1x698)

LCM = 17037467364336/698

LCM = 24408979032

Thus, we can understand that the LCM of 888,113,349,697,698 is 24408979032.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 888, 113, 349, 697, 698

1. What is the LCM of 888, 113, 349, 697, 698?

Answer: LCM of 888, 113, 349, 697, 698 is 24408979032.

2. How to calculate the LCM of 888, 113, 349, 697, 698?

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 888, 113, 349, 697, 698.

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}.