Given numbers are 980,564,288,198,394

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

The LCM of 980,564,288,198,394 is 7186465440.

Find LCM of 980,564,288,198,394 with Prime Factorization

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

2 x 2 x 3 x 3 x 245 x 47 x 8 x 11 x 197 = 7186465440

Therefore, the lowest common multiple of 980,564,288,198,394 is 7186465440.

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.

980 x 564 x 288 x 198 x 394 = 12418212280320

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.

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

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

394 : 1, 2, 197, 394

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,564,288,198,394, is 2.

Now, the common factors can be found like this.

980:2x 2x 5x 7x 7

564:2x 2x 3x 47

288:2x 2x 2x 2x 2x 3x 3

198:2x 3x 3x 11

394:2x 197

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 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 12418212280320/(2x864)

LCM = 12418212280320/1728

LCM = 7186465440

Thus, we can understand that the LCM of 980,564,288,198,394 is 7186465440.

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

• LCM of 351, 364, 122, 832, 265
• LCM of 448, 469, 957, 900, 870
• LCM of 381, 232, 607, 448, 394
• LCM of 688, 866, 430, 751, 642
• LCM of 681, 528, 988, 718, 561

1. What is the LCM of 980, 564, 288, 198, 394?

Answer: LCM of 980, 564, 288, 198, 394 is 7186465440.

2. How to calculate the LCM of 980, 564, 288, 198, 394?

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 980, 564, 288, 198, 394.

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}.