Given numbers are 270,392,794,674,353

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

The LCM of 270,392,794,674,353 is 2499280199640.

Find LCM of 270,392,794,674,353 with Prime Factorization

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

2 x 135 x 196 x 397 x 337 x 353 = 2499280199640

Therefore, the lowest common multiple of 270,392,794,674,353 is 2499280199640.

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.

270 x 392 x 794 x 674 x 353 = 19994241597120

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.

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

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

794 : 1, 2, 397, 794

674 : 1, 2, 337, 674

353 : 1, 353

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,392,794,674,353, is 1.

Now, the common factors can be found like this.

270:2x 3x 3x 3x 5

392:2x 2x 2x 7x 7

794:2x 397

674:2x 337

353:353

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 = 19994241597120/(1x8)

LCM = 19994241597120/8

LCM = 2499280199640

Thus, we can understand that the LCM of 270,392,794,674,353 is 2499280199640.

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

• LCM of 614, 898, 723, 868, 688
• LCM of 618, 354, 768, 217, 247
• LCM of 546, 552, 117, 701, 331
• LCM of 969, 859, 195, 939, 791
• LCM of 812, 924, 334, 471, 989

1. What is the LCM of 270, 392, 794, 674, 353?

Answer: LCM of 270, 392, 794, 674, 353 is 2499280199640.

2. How to calculate the LCM of 270, 392, 794, 674, 353?

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 270, 392, 794, 674, 353.

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}.