Given numbers are 720,136,101,584

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

The LCM of 720,136,101,584 is 90245520.

Find LCM of 720,136,101,584 with Prime Factorization

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

2 x 2 x 2 x 90 x 17 x 101 x 73 = 90245520

Therefore, the lowest common multiple of 720,136,101,584 is 90245520.

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 136 x 101 x 584 = 5775713280

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

136 : 1, 2, 4, 8, 17, 34, 68, 136

101 : 1, 101

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,136,101,584, is 1.

Now, the common factors can be found like this.

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

136:2x 2x 2x 17

101:101

584:2x 2x 2x 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 2x 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 5775713280/(1x64)

LCM = 5775713280/64

LCM = 90245520

Thus, we can understand that the LCM of 720,136,101,584 is 90245520.

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

• LCM of 746, 648, 832, 537
• LCM of 654, 272, 859, 520
• LCM of 457, 881, 527, 926
• LCM of 758, 456, 364, 435
• LCM of 946, 942, 782, 614

1. What is the LCM of 720, 136, 101, 584?

Answer: LCM of 720, 136, 101, 584 is 90245520.

2. How to calculate the LCM of 720, 136, 101, 584?

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, 136, 101, 584.

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}.