Given numbers are 676,720,189,303

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

The LCM of 676,720,189,303 is 258083280.

Find LCM of 676,720,189,303 with Prime Factorization

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

2 x 2 x 3 x 3 x 169 x 20 x 21 x 101 = 258083280

Therefore, the lowest common multiple of 676,720,189,303 is 258083280.

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.

676 x 720 x 189 x 303 = 27872994240

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

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

189 : 1, 3, 7, 9, 21, 27, 63, 189

303 : 1, 3, 101, 303

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,720,189,303, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

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

189:3x 3x 3x 7

303:3x 101

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 27872994240/(1x108)

LCM = 27872994240/108

LCM = 258083280

Thus, we can understand that the LCM of 676,720,189,303 is 258083280.

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

• LCM of 242, 832, 343, 826
• LCM of 150, 889, 732, 346
• LCM of 568, 233, 225, 414
• LCM of 709, 240, 563, 653
• LCM of 270, 372, 383, 309

1. What is the LCM of 676, 720, 189, 303?

Answer: LCM of 676, 720, 189, 303 is 258083280.

2. How to calculate the LCM of 676, 720, 189, 303?

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 676, 720, 189, 303.

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}.