Given numbers are 644,153,780,381,454

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

The LCM of 644,153,780,381,454 is 184637636820.

Find LCM of 644,153,780,381,454 with Prime Factorization

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

2 x 2 x 3 x 161 x 51 x 65 x 127 x 227 = 184637636820

Therefore, the lowest common multiple of 644,153,780,381,454 is 184637636820.

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.

644 x 153 x 780 x 381 x 454 = 13293909851040

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.

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

153 : 1, 3, 9, 17, 51, 153

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

381 : 1, 3, 127, 381

454 : 1, 2, 227, 454

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,153,780,381,454, is 1.

Now, the common factors can be found like this.

644:2x 2x 7x 23

153:3x 3x 17

780:2x 2x 3x 5x 13

381:3x 127

454:2x 227

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 = 13293909851040/(1x72)

LCM = 13293909851040/72

LCM = 184637636820

Thus, we can understand that the LCM of 644,153,780,381,454 is 184637636820.

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

• LCM of 958, 334, 109, 822, 261
• LCM of 905, 205, 385, 911, 907
• LCM of 110, 387, 547, 363, 312
• LCM of 275, 369, 489, 419, 304
• LCM of 117, 842, 258, 101, 224

1. What is the LCM of 644, 153, 780, 381, 454?

Answer: LCM of 644, 153, 780, 381, 454 is 184637636820.

2. How to calculate the LCM of 644, 153, 780, 381, 454?

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 644, 153, 780, 381, 454.

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}.