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LCM of 888, 551, 974, 829

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


Find the LCM of 888, 551, 974, 829 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, 551, 974, 829. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 888,551,974,829

Given numbers are 888,551,974,829

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

The LCM of 888,551,974,829 is 197536819224.

Find LCM of 888,551,974,829 with Prime Factorization


2 888, 551, 974, 829
444, 551, 487, 829

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

2 x 444 x 551 x 487 x 829 = 197536819224

Therefore, the lowest common multiple of 888,551,974,829 is 197536819224.

LCM Formula to Find Lowest Common Multiple of 888,551,974,829

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 551 x 974 x 829 = 395073638448

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

551 : 1, 19, 29, 551

974 : 1, 2, 487, 974

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 888,551,974,829, is 1.

Now, the common factors can be found like this.

888:2x 2x 2x 3x 37

551:19x 29

974:2x 487

829:829

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 = 395073638448/(1x2)

LCM = 395073638448/2

LCM = 197536819224

Thus, we can understand that the LCM of 888,551,974,829 is 197536819224.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 888, 551, 974, 829

1. What is the LCM of 888, 551, 974, 829?

Answer: LCM of 888, 551, 974, 829 is 197536819224.

2. How to calculate the LCM of 888, 551, 974, 829?

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, 551, 974, 829.

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}.