Given numbers are 720,202,779,160,975

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

The LCM of 720,202,779,160,975 is 7364354400.

Find LCM of 720,202,779,160,975 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 3 x 101 x 779 x 2 x 65 = 7364354400

Therefore, the lowest common multiple of 720,202,779,160,975 is 7364354400.

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 202 x 779 x 160 x 975 = 17674450560000

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

202 : 1, 2, 101, 202

779 : 1, 19, 41, 779

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,202,779,160,975, is 1.

Now, the common factors can be found like this.

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

202:2x 101

779:19x 41

160:2x 2x 2x 2x 2x 5

975:3x 5x 5x 13

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 3x 5x 5 = 2400

Therefore, the value for common factors is 2400.

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 = 17674450560000/(1x2400)

LCM = 17674450560000/2400

LCM = 7364354400

Thus, we can understand that the LCM of 720,202,779,160,975 is 7364354400.

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

• LCM of 708, 679, 931, 348, 284
• LCM of 217, 472, 881, 148, 538
• LCM of 412, 225, 659, 178, 561
• LCM of 226, 882, 967, 562, 956
• LCM of 256, 204, 333, 730, 200

1. What is the LCM of 720, 202, 779, 160, 975?

Answer: LCM of 720, 202, 779, 160, 975 is 7364354400.

2. How to calculate the LCM of 720, 202, 779, 160, 975?

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, 202, 779, 160, 975.

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}.