Given numbers are 976,438,680,473,408

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

The LCM of 976,438,680,473,408 is 8593577520.

Find LCM of 976,438,680,473,408 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 122 x 73 x 5 x 473 x 1 = 8593577520

Therefore, the lowest common multiple of 976,438,680,473,408 is 8593577520.

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.

976 x 438 x 680 x 473 x 408 = 56098874050560

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.

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

438 : 1, 2, 3, 6, 73, 146, 219, 438

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

473 : 1, 11, 43, 473

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 976,438,680,473,408, is 1.

Now, the common factors can be found like this.

976:2x 2x 2x 2x 61

438:2x 3x 73

680:2x 2x 2x 5x 17

473:11x 43

408:2x 2x 2x 3x 17

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 2x 2x 3x 17 = 6528

Therefore, the value for common factors is 6528.

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 = 56098874050560/(1x6528)

LCM = 56098874050560/6528

LCM = 8593577520

Thus, we can understand that the LCM of 976,438,680,473,408 is 8593577520.

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

• LCM of 947, 295, 731, 888, 827
• LCM of 598, 403, 573, 239, 527
• LCM of 932, 823, 453, 733, 565
• LCM of 295, 793, 897, 926, 614
• LCM of 605, 600, 753, 344, 479

1. What is the LCM of 976, 438, 680, 473, 408?

Answer: LCM of 976, 438, 680, 473, 408 is 8593577520.

2. How to calculate the LCM of 976, 438, 680, 473, 408?

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 976, 438, 680, 473, 408.

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}.