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LCM of 226, 188, 642, 752

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


Find the LCM of 226, 188, 642, 752 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 226, 188, 642, 752. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 226,188,642,752

Given numbers are 226,188,642,752

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

The LCM of 226,188,642,752 is 27277296.

Find LCM of 226,188,642,752 with Prime Factorization


2 226, 188, 642, 752
2 113, 94, 321, 376
47 113, 47, 321, 188
113, 1, 321, 4

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

2 x 2 x 47 x 113 x 1 x 321 x 4 = 27277296

Therefore, the lowest common multiple of 226,188,642,752 is 27277296.

LCM Formula to Find Lowest Common Multiple of 226,188,642,752

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.

226 x 188 x 642 x 752 = 20512526592

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.

226 : 1, 2, 113, 226

188 : 1, 2, 4, 47, 94, 188

642 : 1, 2, 3, 6, 107, 214, 321, 642

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,188,642,752, is 2.

Now, the common factors can be found like this.

226:2x 113

188:2x 2x 47

642:2x 3x 107

752:2x 2x 2x 2x 47

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 47 = 376

Therefore, the value for common factors is 376.

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 = 20512526592/(2x376)

LCM = 20512526592/752

LCM = 27277296

Thus, we can understand that the LCM of 226,188,642,752 is 27277296.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 226, 188, 642, 752

1. What is the LCM of 226, 188, 642, 752?

Answer: LCM of 226, 188, 642, 752 is 27277296.

2. How to calculate the LCM of 226, 188, 642, 752?

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 226, 188, 642, 752.

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}.