Given numbers are 382,122,780,738

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

The LCM of 382,122,780,738 is 1117796940.

Find LCM of 382,122,780,738 with Prime Factorization

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

2 x 3 x 191 x 61 x 130 x 123 = 1117796940

Therefore, the lowest common multiple of 382,122,780,738 is 1117796940.

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.

382 x 122 x 780 x 738 = 26827126560

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.

382 : 1, 2, 191, 382

122 : 1, 2, 61, 122

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

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,122,780,738, is 2.

Now, the common factors can be found like this.

382:2x 191

122:2x 61

780:2x 2x 3x 5x 13

738:2x 3x 3x 41

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 3 = 12

Therefore, the value for common factors is 12.

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 = 26827126560/(2x12)

LCM = 26827126560/24

LCM = 1117796940

Thus, we can understand that the LCM of 382,122,780,738 is 1117796940.

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

• LCM of 984, 744, 388, 167
• LCM of 274, 259, 281, 313
• LCM of 497, 167, 946, 397
• LCM of 151, 307, 145, 441
• LCM of 889, 477, 885, 630

1. What is the LCM of 382, 122, 780, 738?

Answer: LCM of 382, 122, 780, 738 is 1117796940.

2. How to calculate the LCM of 382, 122, 780, 738?

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 382, 122, 780, 738.

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}.