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LCM of 361, 336, 400, 312

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


Find the LCM of 361, 336, 400, 312 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, 336, 400, 312. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 361,336,400,312

Given numbers are 361,336,400,312

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

The LCM of 361,336,400,312 is 39421200.

Find LCM of 361,336,400,312 with Prime Factorization


2 361, 336, 400, 312
2 361, 168, 200, 156
2 361, 84, 100, 78
2 361, 42, 50, 39
3 361, 21, 25, 39
361, 7, 25, 13

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

2 x 2 x 2 x 2 x 3 x 361 x 7 x 25 x 13 = 39421200

Therefore, the lowest common multiple of 361,336,400,312 is 39421200.

LCM Formula to Find Lowest Common Multiple of 361,336,400,312

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 336 x 400 x 312 = 15137740800

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

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,336,400,312, is 1.

Now, the common factors can be found like this.

361:19x 19

336:2x 2x 2x 2x 3x 7

400:2x 2x 2x 2x 5x 5

312:2x 2x 2x 3x 13

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 2x 2x 2x 2x 3 = 384

Therefore, the value for common factors is 384.

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 = 15137740800/(1x384)

LCM = 15137740800/384

LCM = 39421200

Thus, we can understand that the LCM of 361,336,400,312 is 39421200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 361, 336, 400, 312

1. What is the LCM of 361, 336, 400, 312?

Answer: LCM of 361, 336, 400, 312 is 39421200.

2. How to calculate the LCM of 361, 336, 400, 312?

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, 336, 400, 312.

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}.