Given numbers are 392,128,560,976,954

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

The LCM of 392,128,560,976,954 is 912481920.

Find LCM of 392,128,560,976,954 with Prime Factorization

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

2 x 2 x 2 x 2 x 7 x 7 x 8 x 5 x 61 x 477 = 912481920

Therefore, the lowest common multiple of 392,128,560,976,954 is 912481920.

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.

392 x 128 x 560 x 976 x 954 = 26162681610240

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.

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

128 : 1, 2, 4, 8, 16, 32, 64, 128

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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

954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,128,560,976,954, is 2.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

128:2x 2x 2x 2x 2x 2x 2

560:2x 2x 2x 2x 5x 7

976:2x 2x 2x 2x 61

954:2x 3x 3x 53

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 2x 2x 2x 2x 7 = 14336

Therefore, the value for common factors is 14336.

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 = 26162681610240/(2x14336)

LCM = 26162681610240/28672

LCM = 912481920

Thus, we can understand that the LCM of 392,128,560,976,954 is 912481920.

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

• LCM of 520, 967, 120, 697, 118
• LCM of 652, 893, 715, 404, 990
• LCM of 797, 271, 994, 154, 987
• LCM of 218, 700, 721, 774, 446
• LCM of 628, 261, 428, 273, 510

1. What is the LCM of 392, 128, 560, 976, 954?

Answer: LCM of 392, 128, 560, 976, 954 is 912481920.

2. How to calculate the LCM of 392, 128, 560, 976, 954?

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 392, 128, 560, 976, 954.

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}.