Given numbers are 842,198,369,484,720

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

The LCM of 842,198,369,484,720 is 1503778320.

Find LCM of 842,198,369,484,720 with Prime Factorization

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

2 x 2 x 3 x 3 x 11 x 421 x 1 x 41 x 11 x 20 = 1503778320

Therefore, the lowest common multiple of 842,198,369,484,720 is 1503778320.

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.

842 x 198 x 369 x 484 x 720 = 21437863729920

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.

842 : 1, 2, 421, 842

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

369 : 1, 3, 9, 41, 123, 369

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

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 842,198,369,484,720, is 1.

Now, the common factors can be found like this.

842:2x 421

198:2x 3x 3x 11

369:3x 3x 41

484:2x 2x 11x 11

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 2x 3x 3x 3x 3x 11 = 14256

Therefore, the value for common factors is 14256.

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 = 21437863729920/(1x14256)

LCM = 21437863729920/14256

LCM = 1503778320

Thus, we can understand that the LCM of 842,198,369,484,720 is 1503778320.

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

• LCM of 828, 326, 821, 252, 149
• LCM of 584, 512, 983, 747, 361
• LCM of 468, 344, 123, 983, 167
• LCM of 322, 658, 279, 806, 443
• LCM of 460, 172, 829, 788, 255

1. What is the LCM of 842, 198, 369, 484, 720?

Answer: LCM of 842, 198, 369, 484, 720 is 1503778320.

2. How to calculate the LCM of 842, 198, 369, 484, 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 842, 198, 369, 484, 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}.