Given numbers are 949,270,208,542

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

The LCM of 949,270,208,542 is 555506640.

Find LCM of 949,270,208,542 with Prime Factorization

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

2 x 13 x 73 x 135 x 8 x 271 = 555506640

Therefore, the lowest common multiple of 949,270,208,542 is 555506640.

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.

949 x 270 x 208 x 542 = 28886345280

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.

949 : 1, 13, 73, 949

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

542 : 1, 2, 271, 542

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,270,208,542, is 1.

Now, the common factors can be found like this.

949:13x 73

270:2x 3x 3x 3x 5

208:2x 2x 2x 2x 13

542:2x 271

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 13 = 52

Therefore, the value for common factors is 52.

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 = 28886345280/(1x52)

LCM = 28886345280/52

LCM = 555506640

Thus, we can understand that the LCM of 949,270,208,542 is 555506640.

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

• LCM of 972, 359, 353, 381
• LCM of 540, 854, 489, 388
• LCM of 985, 118, 628, 640
• LCM of 158, 745, 429, 758
• LCM of 386, 291, 380, 382

1. What is the LCM of 949, 270, 208, 542?

Answer: LCM of 949, 270, 208, 542 is 555506640.

2. How to calculate the LCM of 949, 270, 208, 542?

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 949, 270, 208, 542.

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}.