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LCM of 888, 427, 175, 588, 734

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


Find the LCM of 888, 427, 175, 588, 734 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, 427, 175, 588, 734. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 888,427,175,588,734

Given numbers are 888,427,175,588,734

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

The LCM of 888,427,175,588,734 is 24352578600.

Find LCM of 888,427,175,588,734 with Prime Factorization


2 888, 427, 175, 588, 734
2 444, 427, 175, 294, 367
3 222, 427, 175, 147, 367
7 74, 427, 175, 49, 367
74, 61, 25, 7, 367

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

2 x 2 x 3 x 7 x 74 x 61 x 25 x 7 x 367 = 24352578600

Therefore, the lowest common multiple of 888,427,175,588,734 is 24352578600.

LCM Formula to Find Lowest Common Multiple of 888,427,175,588,734

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 427 x 175 x 588 x 734 = 28638632433600

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

427 : 1, 7, 61, 427

175 : 1, 5, 7, 25, 35, 175

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

734 : 1, 2, 367, 734

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 888,427,175,588,734, is 1.

Now, the common factors can be found like this.

888:2x 2x 2x 3x 37

427:7x 61

175:5x 5x 7

588:2x 2x 3x 7x 7

734:2x 367

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 7x 7 = 1176

Therefore, the value for common factors is 1176.

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 = 28638632433600/(1x1176)

LCM = 28638632433600/1176

LCM = 24352578600

Thus, we can understand that the LCM of 888,427,175,588,734 is 24352578600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 888, 427, 175, 588, 734

1. What is the LCM of 888, 427, 175, 588, 734?

Answer: LCM of 888, 427, 175, 588, 734 is 24352578600.

2. How to calculate the LCM of 888, 427, 175, 588, 734?

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, 427, 175, 588, 734.

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}.