Given numbers are 654,202,221,714,720

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

The LCM of 654,202,221,714,720 is 12262264560.

Find LCM of 654,202,221,714,720 with Prime Factorization

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

2 x 3 x 17 x 109 x 101 x 13 x 7 x 120 = 12262264560

Therefore, the lowest common multiple of 654,202,221,714,720 is 12262264560.

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.

654 x 202 x 221 x 714 x 720 = 15009011821440

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.

654 : 1, 2, 3, 6, 109, 218, 327, 654

202 : 1, 2, 101, 202

221 : 1, 13, 17, 221

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,202,221,714,720, is 1.

Now, the common factors can be found like this.

654:2x 3x 109

202:2x 101

221:13x 17

714:2x 3x 7x 17

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

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 3x 3x 17 = 1224

Therefore, the value for common factors is 1224.

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 = 15009011821440/(1x1224)

LCM = 15009011821440/1224

LCM = 12262264560

Thus, we can understand that the LCM of 654,202,221,714,720 is 12262264560.

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

• LCM of 503, 582, 797, 499, 129
• LCM of 882, 141, 851, 599, 605
• LCM of 367, 954, 496, 945, 647
• LCM of 476, 326, 445, 711, 856
• LCM of 331, 653, 256, 502, 464

1. What is the LCM of 654, 202, 221, 714, 720?

Answer: LCM of 654, 202, 221, 714, 720 is 12262264560.

2. How to calculate the LCM of 654, 202, 221, 714, 720?

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 654, 202, 221, 714, 720.

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}.