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LCM of 358, 759, 862, 397

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


Find the LCM of 358, 759, 862, 397 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 358, 759, 862, 397. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 358,759,862,397

Given numbers are 358,759,862,397

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

The LCM of 358,759,862,397 is 46493536254.

Find LCM of 358,759,862,397 with Prime Factorization


2 358, 759, 862, 397
179, 759, 431, 397

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

2 x 179 x 759 x 431 x 397 = 46493536254

Therefore, the lowest common multiple of 358,759,862,397 is 46493536254.

LCM Formula to Find Lowest Common Multiple of 358,759,862,397

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.

358 x 759 x 862 x 397 = 92987072508

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.

358 : 1, 2, 179, 358

759 : 1, 3, 11, 23, 33, 69, 253, 759

862 : 1, 2, 431, 862

397 : 1, 397

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,759,862,397, is 1.

Now, the common factors can be found like this.

358:2x 179

759:3x 11x 23

862:2x 431

397:397

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 = 92987072508/(1x2)

LCM = 92987072508/2

LCM = 46493536254

Thus, we can understand that the LCM of 358,759,862,397 is 46493536254.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 358, 759, 862, 397

1. What is the LCM of 358, 759, 862, 397?

Answer: LCM of 358, 759, 862, 397 is 46493536254.

2. How to calculate the LCM of 358, 759, 862, 397?

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 358, 759, 862, 397.

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}.