Given numbers are 354,192,731,576,861

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

The LCM of 354,192,731,576,861 is 7129741248.

Find LCM of 354,192,731,576,861 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 3 x 59 x 1 x 731 x 3 x 287 = 7129741248

Therefore, the lowest common multiple of 354,192,731,576,861 is 7129741248.

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 192 x 731 x 576 x 861 = 24640385753088

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

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

731 : 1, 17, 43, 731

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

861 : 1, 3, 7, 21, 41, 123, 287, 861

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,192,731,576,861, is 1.

Now, the common factors can be found like this.

354:2x 3x 59

192:2x 2x 2x 2x 2x 2x 3

731:17x 43

576:2x 2x 2x 2x 2x 2x 3x 3

861:3x 7x 41

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 3x 3 = 3456

Therefore, the value for common factors is 3456.

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 = 24640385753088/(1x3456)

LCM = 24640385753088/3456

LCM = 7129741248

Thus, we can understand that the LCM of 354,192,731,576,861 is 7129741248.

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

• LCM of 233, 279, 688, 959, 456
• LCM of 864, 612, 412, 483, 582
• LCM of 509, 289, 309, 248, 562
• LCM of 578, 774, 803, 401, 318
• LCM of 150, 666, 301, 967, 508

1. What is the LCM of 354, 192, 731, 576, 861?

Answer: LCM of 354, 192, 731, 576, 861 is 7129741248.

2. How to calculate the LCM of 354, 192, 731, 576, 861?

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, 192, 731, 576, 861.

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}.