Given numbers are 742,124,928,780,565

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

The LCM of 742,124,928,780,565 is 235177968480.

Find LCM of 742,124,928,780,565 with Prime Factorization

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

2 x 2 x 5 x 371 x 31 x 232 x 39 x 113 = 235177968480

Therefore, the lowest common multiple of 742,124,928,780,565 is 235177968480.

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.

742 x 124 x 928 x 780 x 565 = 37628474956800

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.

742 : 1, 2, 7, 14, 53, 106, 371, 742

124 : 1, 2, 4, 31, 62, 124

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

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

565 : 1, 5, 113, 565

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,124,928,780,565, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

124:2x 2x 31

928:2x 2x 2x 2x 2x 29

780:2x 2x 3x 5x 13

565:5x 113

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 2x 2x 5 = 160

Therefore, the value for common factors is 160.

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 = 37628474956800/(1x160)

LCM = 37628474956800/160

LCM = 235177968480

Thus, we can understand that the LCM of 742,124,928,780,565 is 235177968480.

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

• LCM of 904, 477, 925, 978, 747
• LCM of 760, 310, 397, 541, 514
• LCM of 626, 424, 192, 513, 710
• LCM of 799, 648, 518, 284, 370
• LCM of 551, 952, 811, 704, 133

1. What is the LCM of 742, 124, 928, 780, 565?

Answer: LCM of 742, 124, 928, 780, 565 is 235177968480.

2. How to calculate the LCM of 742, 124, 928, 780, 565?

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 742, 124, 928, 780, 565.

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}.