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LCM of 361, 104, 298, 532

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


Find the LCM of 361, 104, 298, 532 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 361, 104, 298, 532. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 361,104,298,532

Given numbers are 361,104,298,532

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

The LCM of 361,104,298,532 is 39158392.

Find LCM of 361,104,298,532 with Prime Factorization


2 361, 104, 298, 532
2 361, 52, 149, 266
19 361, 26, 149, 133
19, 26, 149, 7

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

2 x 2 x 19 x 19 x 26 x 149 x 7 = 39158392

Therefore, the lowest common multiple of 361,104,298,532 is 39158392.

LCM Formula to Find Lowest Common Multiple of 361,104,298,532

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.

361 x 104 x 298 x 532 = 5952075584

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.

361 : 1, 19, 361

104 : 1, 2, 4, 8, 13, 26, 52, 104

298 : 1, 2, 149, 298

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,104,298,532, is 1.

Now, the common factors can be found like this.

361:19x 19

104:2x 2x 2x 13

298:2x 149

532:2x 2x 7x 19

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

2x 2x 2x 19 = 152

Therefore, the value for common factors is 152.

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 = 5952075584/(1x152)

LCM = 5952075584/152

LCM = 39158392

Thus, we can understand that the LCM of 361,104,298,532 is 39158392.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 361, 104, 298, 532

1. What is the LCM of 361, 104, 298, 532?

Answer: LCM of 361, 104, 298, 532 is 39158392.

2. How to calculate the LCM of 361, 104, 298, 532?

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 361, 104, 298, 532.

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}.