Given numbers are 438,780,151,492,747

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

The LCM of 438,780,151,492,747 is 87776369460.

Find LCM of 438,780,151,492,747 with Prime Factorization

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

2 x 2 x 3 x 73 x 65 x 151 x 41 x 249 = 87776369460

Therefore, the lowest common multiple of 438,780,151,492,747 is 87776369460.

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.

438 x 780 x 151 x 492 x 747 = 18959695803360

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.

438 : 1, 2, 3, 6, 73, 146, 219, 438

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

151 : 1, 151

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

747 : 1, 3, 9, 83, 249, 747

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,780,151,492,747, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

780:2x 2x 3x 5x 13

151:151

492:2x 2x 3x 41

747:3x 3x 83

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 3 = 216

Therefore, the value for common factors is 216.

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 = 18959695803360/(1x216)

LCM = 18959695803360/216

LCM = 87776369460

Thus, we can understand that the LCM of 438,780,151,492,747 is 87776369460.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 824, 631, 263, 228, 713
• LCM of 373, 123, 958, 521, 788
• LCM of 981, 388, 866, 700, 664
• LCM of 205, 835, 162, 654, 515
• LCM of 751, 945, 251, 666, 838

1. What is the LCM of 438, 780, 151, 492, 747?

Answer: LCM of 438, 780, 151, 492, 747 is 87776369460.

2. How to calculate the LCM of 438, 780, 151, 492, 747?

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 438, 780, 151, 492, 747.

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}.