Given numbers are 574,390,260,421,220

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

The LCM of 574,390,260,421,220 is 1036695660.

Find LCM of 574,390,260,421,220 with Prime Factorization

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

2 x 2 x 5 x 13 x 287 x 3 x 1 x 421 x 11 = 1036695660

Therefore, the lowest common multiple of 574,390,260,421,220 is 1036695660.

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.

574 x 390 x 260 x 421 x 220 = 5390817432000

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.

574 : 1, 2, 7, 14, 41, 82, 287, 574

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

421 : 1, 421

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,390,260,421,220, is 1.

Now, the common factors can be found like this.

574:2x 7x 41

390:2x 3x 5x 13

260:2x 2x 5x 13

421:421

220:2x 2x 5x 11

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 5x 5x 13 = 5200

Therefore, the value for common factors is 5200.

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 = 5390817432000/(1x5200)

LCM = 5390817432000/5200

LCM = 1036695660

Thus, we can understand that the LCM of 574,390,260,421,220 is 1036695660.

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

• LCM of 180, 930, 655, 745, 209
• LCM of 917, 156, 306, 917, 305
• LCM of 751, 392, 962, 862, 655
• LCM of 162, 472, 324, 523, 969
• LCM of 469, 795, 833, 784, 971

1. What is the LCM of 574, 390, 260, 421, 220?

Answer: LCM of 574, 390, 260, 421, 220 is 1036695660.

2. How to calculate the LCM of 574, 390, 260, 421, 220?

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 574, 390, 260, 421, 220.

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}.