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LCM of 329, 466, 383, 358, 695

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


Find the LCM of 329, 466, 383, 358, 695 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 329, 466, 383, 358, 695. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 329,466,383,358,695

Given numbers are 329,466,383,358,695

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

The LCM of 329,466,383,358,695 is 7304969789110.

Find LCM of 329,466,383,358,695 with Prime Factorization


2 329, 466, 383, 358, 695
329, 233, 383, 179, 695

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

2 x 329 x 233 x 383 x 179 x 695 = 7304969789110

Therefore, the lowest common multiple of 329,466,383,358,695 is 7304969789110.

LCM Formula to Find Lowest Common Multiple of 329,466,383,358,695

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.

329 x 466 x 383 x 358 x 695 = 14609939578220

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.

329 : 1, 7, 47, 329

466 : 1, 2, 233, 466

383 : 1, 383

358 : 1, 2, 179, 358

695 : 1, 5, 139, 695

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,466,383,358,695, is 1.

Now, the common factors can be found like this.

329:7x 47

466:2x 233

383:383

358:2x 179

695:5x 139

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

2 = 2

Therefore, the value for common factors is 2.

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 = 14609939578220/(1x2)

LCM = 14609939578220/2

LCM = 7304969789110

Thus, we can understand that the LCM of 329,466,383,358,695 is 7304969789110.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 329, 466, 383, 358, 695

1. What is the LCM of 329, 466, 383, 358, 695?

Answer: LCM of 329, 466, 383, 358, 695 is 7304969789110.

2. How to calculate the LCM of 329, 466, 383, 358, 695?

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 329, 466, 383, 358, 695.

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}.