Given numbers are 290,526,128,346,674

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

The LCM of 290,526,128,346,674 is 284583505280.

Find LCM of 290,526,128,346,674 with Prime Factorization

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

2 x 145 x 263 x 64 x 173 x 337 = 284583505280

Therefore, the lowest common multiple of 290,526,128,346,674 is 284583505280.

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.

290 x 526 x 128 x 346 x 674 = 4553336084480

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.

290 : 1, 2, 5, 10, 29, 58, 145, 290

526 : 1, 2, 263, 526

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

346 : 1, 2, 173, 346

674 : 1, 2, 337, 674

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,526,128,346,674, is 2.

Now, the common factors can be found like this.

290:2x 5x 29

526:2x 263

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

346:2x 173

674:2x 337

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 2 = 8

Therefore, the value for common factors is 8.

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 = 4553336084480/(2x8)

LCM = 4553336084480/16

LCM = 284583505280

Thus, we can understand that the LCM of 290,526,128,346,674 is 284583505280.

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

• LCM of 346, 723, 959, 121, 207
• LCM of 260, 760, 969, 405, 239
• LCM of 742, 254, 624, 912, 768
• LCM of 458, 995, 971, 553, 362
• LCM of 205, 983, 731, 865, 101

1. What is the LCM of 290, 526, 128, 346, 674?

Answer: LCM of 290, 526, 128, 346, 674 is 284583505280.

2. How to calculate the LCM of 290, 526, 128, 346, 674?

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 290, 526, 128, 346, 674.

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}.