Given numbers are 720,735,678,407

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

The LCM of 720,735,678,407 is 1622562480.

Find LCM of 720,735,678,407 with Prime Factorization

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

2 x 3 x 5 x 24 x 49 x 113 x 407 = 1622562480

Therefore, the lowest common multiple of 720,735,678,407 is 1622562480.

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 735 x 678 x 407 = 146030623200

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

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

678 : 1, 2, 3, 6, 113, 226, 339, 678

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,735,678,407, is 1.

Now, the common factors can be found like this.

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

735:3x 5x 7x 7

678:2x 3x 113

407:11x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 5 = 90

Therefore, the value for common factors is 90.

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 = 146030623200/(1x90)

LCM = 146030623200/90

LCM = 1622562480

Thus, we can understand that the LCM of 720,735,678,407 is 1622562480.

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

• LCM of 656, 263, 102, 389
• LCM of 298, 838, 143, 806
• LCM of 775, 543, 265, 536
• LCM of 260, 682, 816, 939
• LCM of 832, 680, 840, 930

1. What is the LCM of 720, 735, 678, 407?

Answer: LCM of 720, 735, 678, 407 is 1622562480.

2. How to calculate the LCM of 720, 735, 678, 407?

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, 735, 678, 407.

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}.