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LCM of 945, 736, 336, 366, 366

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


Find the LCM of 945, 736, 336, 366, 366 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 945, 736, 336, 366, 366. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 945,736,336,366,366

Given numbers are 945,736,336,366,366

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

The LCM of 945,736,336,366,366 is 42426720.

Find LCM of 945,736,336,366,366 with Prime Factorization


2 945, 736, 336, 366, 366
2 945, 368, 168, 183, 183
2 945, 184, 84, 183, 183
2 945, 92, 42, 183, 183
3 945, 46, 21, 183, 183
7 315, 46, 7, 61, 61
61 45, 46, 1, 61, 61
45, 46, 1, 1, 1

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

2 x 2 x 2 x 2 x 3 x 7 x 61 x 45 x 46 x 1 x 1 x 1 = 42426720

Therefore, the lowest common multiple of 945,736,336,366,366 is 42426720.

LCM Formula to Find Lowest Common Multiple of 945,736,336,366,366

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.

945 x 736 x 336 x 366 x 366 = 31304809912320

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.

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

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

366 : 1, 2, 3, 6, 61, 122, 183, 366

366 : 1, 2, 3, 6, 61, 122, 183, 366

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,736,336,366,366, is 1.

Now, the common factors can be found like this.

945:3x 3x 3x 5x 7

736:2x 2x 2x 2x 2x 23

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

366:2x 3x 61

366:2x 3x 61

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 3x 3x 3x 7x 61 = 737856

Therefore, the value for common factors is 737856.

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 = 31304809912320/(1x737856)

LCM = 31304809912320/737856

LCM = 42426720

Thus, we can understand that the LCM of 945,736,336,366,366 is 42426720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 945, 736, 336, 366, 366

1. What is the LCM of 945, 736, 336, 366, 366?

Answer: LCM of 945, 736, 336, 366, 366 is 42426720.

2. How to calculate the LCM of 945, 736, 336, 366, 366?

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 945, 736, 336, 366, 366.

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}.