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LCM of 468, 350, 624, 366

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


Find the LCM of 468, 350, 624, 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 468, 350, 624, 366. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 468,350,624,366

Given numbers are 468,350,624,366

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

The LCM of 468,350,624,366 is 19983600.

Find LCM of 468,350,624,366 with Prime Factorization


2 468, 350, 624, 366
2 234, 175, 312, 183
3 117, 175, 156, 183
13 39, 175, 52, 61
3, 175, 4, 61

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

2 x 2 x 3 x 13 x 3 x 175 x 4 x 61 = 19983600

Therefore, the lowest common multiple of 468,350,624,366 is 19983600.

LCM Formula to Find Lowest Common Multiple of 468,350,624,366

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.

468 x 350 x 624 x 366 = 37409299200

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,350,624,366, is 2.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

350:2x 5x 5x 7

624:2x 2x 2x 2x 3x 13

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 3x 3x 13 = 936

Therefore, the value for common factors is 936.

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 = 37409299200/(2x936)

LCM = 37409299200/1872

LCM = 19983600

Thus, we can understand that the LCM of 468,350,624,366 is 19983600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 468, 350, 624, 366

1. What is the LCM of 468, 350, 624, 366?

Answer: LCM of 468, 350, 624, 366 is 19983600.

2. How to calculate the LCM of 468, 350, 624, 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 468, 350, 624, 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}.