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LCM of 358, 428, 299

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


Find the LCM of 358, 428, 299 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, 428, 299. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 358,428,299

Given numbers are 358,428,299

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

The LCM of 358,428,299 is 22906988.

Find LCM of 358,428,299 with Prime Factorization


2 358, 428, 299
179, 214, 299

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

2 x 179 x 214 x 299 = 22906988

Therefore, the lowest common multiple of 358,428,299 is 22906988.

LCM Formula to Find Lowest Common Multiple of 358,428,299

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 428 x 299 = 45813976

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

428 : 1, 2, 4, 107, 214, 428

299 : 1, 13, 23, 299

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,428,299, is 1.

Now, the common factors can be found like this.

358:2x 179

428:2x 2x 107

299:13x 23

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 = 45813976/(1x2)

LCM = 45813976/2

LCM = 22906988

Thus, we can understand that the LCM of 358,428,299 is 22906988.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 358, 428, 299

1. What is the LCM of 358, 428, 299?

Answer: LCM of 358, 428, 299 is 22906988.

2. How to calculate the LCM of 358, 428, 299?

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, 428, 299.

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}.