Given numbers are 384,177,128,946,954

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

The LCM of 384,177,128,946,954 is 1703889792.

Find LCM of 384,177,128,946,954 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 1 x 59 x 1 x 473 x 159 = 1703889792

Therefore, the lowest common multiple of 384,177,128,946,954 is 1703889792.

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.

384 x 177 x 128 x 946 x 954 = 7851524161536

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.

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

177 : 1, 3, 59, 177

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

946 : 1, 2, 11, 22, 43, 86, 473, 946

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 384,177,128,946,954, is 1.

Now, the common factors can be found like this.

384:2x 2x 2x 2x 2x 2x 2x 3

177:3x 59

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

946:2x 11x 43

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 3x 3 = 4608

Therefore, the value for common factors is 4608.

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 = 7851524161536/(1x4608)

LCM = 7851524161536/4608

LCM = 1703889792

Thus, we can understand that the LCM of 384,177,128,946,954 is 1703889792.

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

• LCM of 464, 655, 867, 228, 382
• LCM of 111, 203, 681, 509, 458
• LCM of 595, 500, 976, 446, 381
• LCM of 589, 453, 659, 736, 899
• LCM of 953, 671, 909, 480, 434

1. What is the LCM of 384, 177, 128, 946, 954?

Answer: LCM of 384, 177, 128, 946, 954 is 1703889792.

2. How to calculate the LCM of 384, 177, 128, 946, 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 384, 177, 128, 946, 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}.