Given numbers are 980,494,318,542,296

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

The LCM of 980,494,318,542,296 is 771829127160.

Find LCM of 980,494,318,542,296 with Prime Factorization

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

2 x 2 x 245 x 247 x 159 x 271 x 74 = 771829127160

Therefore, the lowest common multiple of 980,494,318,542,296 is 771829127160.

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 494 x 318 x 542 x 296 = 24698532069120

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

494 : 1, 2, 13, 19, 26, 38, 247, 494

318 : 1, 2, 3, 6, 53, 106, 159, 318

542 : 1, 2, 271, 542

296 : 1, 2, 4, 8, 37, 74, 148, 296

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,494,318,542,296, is 2.

Now, the common factors can be found like this.

980:2x 2x 5x 7x 7

494:2x 13x 19

318:2x 3x 53

542:2x 271

296:2x 2x 2x 37

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 2 = 16

Therefore, the value for common factors is 16.

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 = 24698532069120/(2x16)

LCM = 24698532069120/32

LCM = 771829127160

Thus, we can understand that the LCM of 980,494,318,542,296 is 771829127160.

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

• LCM of 403, 399, 308, 772, 676
• LCM of 290, 602, 389, 546, 311
• LCM of 274, 217, 773, 402, 460
• LCM of 152, 521, 236, 632, 745
• LCM of 178, 563, 281, 838, 501

1. What is the LCM of 980, 494, 318, 542, 296?

Answer: LCM of 980, 494, 318, 542, 296 is 771829127160.

2. How to calculate the LCM of 980, 494, 318, 542, 296?

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, 494, 318, 542, 296.

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}.