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LCM of 888, 933, 185, 678, 724

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


Find the LCM of 888, 933, 185, 678, 724 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, 933, 185, 678, 724. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 888,933,185,678,724

Given numbers are 888,933,185,678,724

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

The LCM of 888,933,185,678,724 is 28242320520.

Find LCM of 888,933,185,678,724 with Prime Factorization


2 888, 933, 185, 678, 724
2 444, 933, 185, 339, 362
3 222, 933, 185, 339, 181
37 74, 311, 185, 113, 181
2, 311, 5, 113, 181

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

2 x 2 x 3 x 37 x 2 x 311 x 5 x 113 x 181 = 28242320520

Therefore, the lowest common multiple of 888,933,185,678,724 is 28242320520.

LCM Formula to Find Lowest Common Multiple of 888,933,185,678,724

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 933 x 185 x 678 x 724 = 75237541865280

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

933 : 1, 3, 311, 933

185 : 1, 5, 37, 185

678 : 1, 2, 3, 6, 113, 226, 339, 678

724 : 1, 2, 4, 181, 362, 724

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 888,933,185,678,724, is 1.

Now, the common factors can be found like this.

888:2x 2x 2x 3x 37

933:3x 311

185:5x 37

678:2x 3x 113

724:2x 2x 181

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 3x 3x 37 = 2664

Therefore, the value for common factors is 2664.

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 = 75237541865280/(1x2664)

LCM = 75237541865280/2664

LCM = 28242320520

Thus, we can understand that the LCM of 888,933,185,678,724 is 28242320520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 888, 933, 185, 678, 724

1. What is the LCM of 888, 933, 185, 678, 724?

Answer: LCM of 888, 933, 185, 678, 724 is 28242320520.

2. How to calculate the LCM of 888, 933, 185, 678, 724?

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, 933, 185, 678, 724.

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}.