Given numbers are 354,149,564,160

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

The LCM of 354,149,564,160 is 198324960.

Find LCM of 354,149,564,160 with Prime Factorization

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

2 x 2 x 3 x 59 x 149 x 47 x 40 = 198324960

Therefore, the lowest common multiple of 354,149,564,160 is 198324960.

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 149 x 564 x 160 = 4759799040

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

149 : 1, 149

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,149,564,160, is 1.

Now, the common factors can be found like this.

354:2x 3x 59

149:149

564:2x 2x 3x 47

160:2x 2x 2x 2x 2x 5

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 = 4759799040/(1x24)

LCM = 4759799040/24

LCM = 198324960

Thus, we can understand that the LCM of 354,149,564,160 is 198324960.

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

• LCM of 233, 923, 708, 152
• LCM of 606, 200, 530, 713
• LCM of 257, 196, 611, 685
• LCM of 329, 425, 317, 363
• LCM of 746, 743, 275, 796

1. What is the LCM of 354, 149, 564, 160?

Answer: LCM of 354, 149, 564, 160 is 198324960.

2. How to calculate the LCM of 354, 149, 564, 160?

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, 149, 564, 160.

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}.