Given numbers are 354,748,409,466,966

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

The LCM of 354,748,409,466,966 is 2031327599532.

Find LCM of 354,748,409,466,966 with Prime Factorization

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

2 x 3 x 59 x 374 x 409 x 233 x 161 = 2031327599532

Therefore, the lowest common multiple of 354,748,409,466,966 is 2031327599532.

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.

354 x 748 x 409 x 466 x 966 = 48751862388768

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.

354 : 1, 2, 3, 6, 59, 118, 177, 354

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

409 : 1, 409

466 : 1, 2, 233, 466

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,748,409,466,966, is 1.

Now, the common factors can be found like this.

354:2x 3x 59

748:2x 2x 11x 17

409:409

466:2x 233

966:2x 3x 7x 23

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 3 = 24

Therefore, the value for common factors is 24.

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 = 48751862388768/(1x24)

LCM = 48751862388768/24

LCM = 2031327599532

Thus, we can understand that the LCM of 354,748,409,466,966 is 2031327599532.

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

• LCM of 506, 881, 111, 643, 222
• LCM of 987, 229, 222, 627, 191
• LCM of 604, 424, 356, 991, 101
• LCM of 489, 580, 143, 394, 972
• LCM of 888, 225, 593, 967, 795

1. What is the LCM of 354, 748, 409, 466, 966?

Answer: LCM of 354, 748, 409, 466, 966 is 2031327599532.

2. How to calculate the LCM of 354, 748, 409, 466, 966?

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 354, 748, 409, 466, 966.

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}.