Given numbers are 710,138,146,744,511

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

The LCM of 710,138,146,744,511 is 3104202360.

Find LCM of 710,138,146,744,511 with Prime Factorization

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

2 x 3 x 73 x 355 x 23 x 1 x 124 x 7 = 3104202360

Therefore, the lowest common multiple of 710,138,146,744,511 is 3104202360.

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.

710 x 138 x 146 x 744 x 511 = 5438562534720

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.

710 : 1, 2, 5, 10, 71, 142, 355, 710

138 : 1, 2, 3, 6, 23, 46, 69, 138

146 : 1, 2, 73, 146

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

511 : 1, 7, 73, 511

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 710,138,146,744,511, is 1.

Now, the common factors can be found like this.

710:2x 5x 71

138:2x 3x 23

146:2x 73

744:2x 2x 2x 3x 31

511:7x 73

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 73 = 1752

Therefore, the value for common factors is 1752.

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 = 5438562534720/(1x1752)

LCM = 5438562534720/1752

LCM = 3104202360

Thus, we can understand that the LCM of 710,138,146,744,511 is 3104202360.

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

• LCM of 216, 432, 314, 633, 574
• LCM of 679, 328, 284, 262, 787
• LCM of 314, 543, 806, 382, 490
• LCM of 544, 668, 593, 457, 452
• LCM of 369, 972, 965, 118, 578

1. What is the LCM of 710, 138, 146, 744, 511?

Answer: LCM of 710, 138, 146, 744, 511 is 3104202360.

2. How to calculate the LCM of 710, 138, 146, 744, 511?

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 710, 138, 146, 744, 511.

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}.