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LCM of 358, 537, 537, 290

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


Find the LCM of 358, 537, 537, 290 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, 537, 537, 290. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 358,537,537,290

Given numbers are 358,537,537,290

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

The LCM of 358,537,537,290 is 155730.

Find LCM of 358,537,537,290 with Prime Factorization


2 358, 537, 537, 290
3 179, 537, 537, 145
179 179, 179, 179, 145
1, 1, 1, 145

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

2 x 3 x 179 x 1 x 1 x 1 x 145 = 155730

Therefore, the lowest common multiple of 358,537,537,290 is 155730.

LCM Formula to Find Lowest Common Multiple of 358,537,537,290

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 537 x 537 x 290 = 29938469580

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

537 : 1, 3, 179, 537

537 : 1, 3, 179, 537

290 : 1, 2, 5, 10, 29, 58, 145, 290

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,537,537,290, is 1.

Now, the common factors can be found like this.

358:2x 179

537:3x 179

537:3x 179

290:2x 5x 29

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

2x 3x 179x 179 = 192246

Therefore, the value for common factors is 192246.

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 = 29938469580/(1x192246)

LCM = 29938469580/192246

LCM = 155730

Thus, we can understand that the LCM of 358,537,537,290 is 155730.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 358, 537, 537, 290

1. What is the LCM of 358, 537, 537, 290?

Answer: LCM of 358, 537, 537, 290 is 155730.

2. How to calculate the LCM of 358, 537, 537, 290?

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, 537, 537, 290.

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}.