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LCM of 356, 906, 588, 334

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


Find the LCM of 356, 906, 588, 334 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 356, 906, 588, 334. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 356,906,588,334

Given numbers are 356,906,588,334

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

The LCM of 356,906,588,334 is 1319656044.

Find LCM of 356,906,588,334 with Prime Factorization


2 356, 906, 588, 334
2 178, 453, 294, 167
3 89, 453, 147, 167
89, 151, 49, 167

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

2 x 2 x 3 x 89 x 151 x 49 x 167 = 1319656044

Therefore, the lowest common multiple of 356,906,588,334 is 1319656044.

LCM Formula to Find Lowest Common Multiple of 356,906,588,334

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.

356 x 906 x 588 x 334 = 63343490112

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.

356 : 1, 2, 4, 89, 178, 356

906 : 1, 2, 3, 6, 151, 302, 453, 906

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

334 : 1, 2, 167, 334

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 356,906,588,334, is 2.

Now, the common factors can be found like this.

356:2x 2x 89

906:2x 3x 151

588:2x 2x 3x 7x 7

334:2x 167

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 3 = 24

Therefore, the value for common factors is 24.

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 = 63343490112/(2x24)

LCM = 63343490112/48

LCM = 1319656044

Thus, we can understand that the LCM of 356,906,588,334 is 1319656044.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 356, 906, 588, 334

1. What is the LCM of 356, 906, 588, 334?

Answer: LCM of 356, 906, 588, 334 is 1319656044.

2. How to calculate the LCM of 356, 906, 588, 334?

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 356, 906, 588, 334.

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}.