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LCM of 437, 345, 256, 358

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


Find the LCM of 437, 345, 256, 358 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 437, 345, 256, 358. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 437,345,256,358

Given numbers are 437,345,256,358

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

The LCM of 437,345,256,358 is 300376320.

Find LCM of 437,345,256,358 with Prime Factorization


2 437, 345, 256, 358
23 437, 345, 128, 179
19, 15, 128, 179

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

2 x 23 x 19 x 15 x 128 x 179 = 300376320

Therefore, the lowest common multiple of 437,345,256,358 is 300376320.

LCM Formula to Find Lowest Common Multiple of 437,345,256,358

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.

437 x 345 x 256 x 358 = 13817310720

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.

437 : 1, 19, 23, 437

345 : 1, 3, 5, 15, 23, 69, 115, 345

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

358 : 1, 2, 179, 358

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,345,256,358, is 1.

Now, the common factors can be found like this.

437:19x 23

345:3x 5x 23

256:2x 2x 2x 2x 2x 2x 2x 2

358:2x 179

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 13817310720/(1x46)

LCM = 13817310720/46

LCM = 300376320

Thus, we can understand that the LCM of 437,345,256,358 is 300376320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 437, 345, 256, 358

1. What is the LCM of 437, 345, 256, 358?

Answer: LCM of 437, 345, 256, 358 is 300376320.

2. How to calculate the LCM of 437, 345, 256, 358?

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 437, 345, 256, 358.

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}.