Given numbers are 720,146,264,740,711

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

The LCM of 720,146,264,740,711 is 1689961680.

Find LCM of 720,146,264,740,711 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 5 x 2 x 73 x 11 x 37 x 79 = 1689961680

Therefore, the lowest common multiple of 720,146,264,740,711 is 1689961680.

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.

720 x 146 x 264 x 740 x 711 = 14601268915200

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.

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

146 : 1, 2, 73, 146

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

711 : 1, 3, 9, 79, 237, 711

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,146,264,740,711, is 1.

Now, the common factors can be found like this.

720:2x 2x 2x 2x 3x 3x 5

146:2x 73

264:2x 2x 2x 3x 11

740:2x 2x 5x 37

711:3x 3x 79

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 2x 3x 3x 3x 5 = 8640

Therefore, the value for common factors is 8640.

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 = 14601268915200/(1x8640)

LCM = 14601268915200/8640

LCM = 1689961680

Thus, we can understand that the LCM of 720,146,264,740,711 is 1689961680.

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

• LCM of 531, 292, 735, 661, 346
• LCM of 891, 443, 846, 539, 402
• LCM of 120, 291, 871, 343, 731
• LCM of 299, 184, 726, 823, 403
• LCM of 357, 876, 712, 445, 927

1. What is the LCM of 720, 146, 264, 740, 711?

Answer: LCM of 720, 146, 264, 740, 711 is 1689961680.

2. How to calculate the LCM of 720, 146, 264, 740, 711?

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 720, 146, 264, 740, 711.

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}.