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LCM of 152, 414, 787, 468

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


Find the LCM of 152, 414, 787, 468 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 152, 414, 787, 468. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 152,414,787,468

Given numbers are 152,414,787,468

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

The LCM of 152,414,787,468 is 321908184.

Find LCM of 152,414,787,468 with Prime Factorization


2 152, 414, 787, 468
2 76, 207, 787, 234
3 38, 207, 787, 117
3 38, 69, 787, 39
38, 23, 787, 13

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

2 x 2 x 3 x 3 x 38 x 23 x 787 x 13 = 321908184

Therefore, the lowest common multiple of 152,414,787,468 is 321908184.

LCM Formula to Find Lowest Common Multiple of 152,414,787,468

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.

152 x 414 x 787 x 468 = 23177389248

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.

152 : 1, 2, 4, 8, 19, 38, 76, 152

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

787 : 1, 787

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,414,787,468, is 1.

Now, the common factors can be found like this.

152:2x 2x 2x 19

414:2x 3x 3x 23

787:787

468:2x 2x 3x 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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 23177389248/(1x72)

LCM = 23177389248/72

LCM = 321908184

Thus, we can understand that the LCM of 152,414,787,468 is 321908184.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 152, 414, 787, 468

1. What is the LCM of 152, 414, 787, 468?

Answer: LCM of 152, 414, 787, 468 is 321908184.

2. How to calculate the LCM of 152, 414, 787, 468?

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 152, 414, 787, 468.

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}.