Given numbers are 319,864,409,980

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

The LCM of 319,864,409,980 is 27618101280.

Find LCM of 319,864,409,980 with Prime Factorization

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

2 x 2 x 319 x 216 x 409 x 245 = 27618101280

Therefore, the lowest common multiple of 319,864,409,980 is 27618101280.

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.

319 x 864 x 409 x 980 = 110472405120

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.

319 : 1, 11, 29, 319

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

409 : 1, 409

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,864,409,980, is 1.

Now, the common factors can be found like this.

319:11x 29

864:2x 2x 2x 2x 2x 3x 3x 3

409:409

980:2x 2x 5x 7x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 110472405120/(1x4)

LCM = 110472405120/4

LCM = 27618101280

Thus, we can understand that the LCM of 319,864,409,980 is 27618101280.

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

• LCM of 971, 733, 417, 493
• LCM of 964, 506, 464, 879
• LCM of 343, 632, 545, 941
• LCM of 953, 875, 978, 597
• LCM of 740, 253, 746, 356

1. What is the LCM of 319, 864, 409, 980?

Answer: LCM of 319, 864, 409, 980 is 27618101280.

2. How to calculate the LCM of 319, 864, 409, 980?

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 319, 864, 409, 980.

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}.