Given numbers are 457,120,349,707,235

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

The LCM of 457,120,349,707,235 is 635975147640.

Find LCM of 457,120,349,707,235 with Prime Factorization

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

5 x 457 x 24 x 349 x 707 x 47 = 635975147640

Therefore, the lowest common multiple of 457,120,349,707,235 is 635975147640.

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.

457 x 120 x 349 x 707 x 235 = 3179875738200

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.

457 : 1, 457

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

349 : 1, 349

707 : 1, 7, 101, 707

235 : 1, 5, 47, 235

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,120,349,707,235, is 1.

Now, the common factors can be found like this.

457:457

120:2x 2x 2x 3x 5

349:349

707:7x 101

235:5x 47

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

5 = 5

Therefore, the value for common factors is 5.

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 = 3179875738200/(1x5)

LCM = 3179875738200/5

LCM = 635975147640

Thus, we can understand that the LCM of 457,120,349,707,235 is 635975147640.

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

• LCM of 409, 631, 768, 259, 775
• LCM of 892, 514, 107, 454, 384
• LCM of 712, 417, 304, 307, 531
• LCM of 982, 989, 489, 482, 991
• LCM of 443, 441, 607, 238, 185

1. What is the LCM of 457, 120, 349, 707, 235?

Answer: LCM of 457, 120, 349, 707, 235 is 635975147640.

2. How to calculate the LCM of 457, 120, 349, 707, 235?

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 457, 120, 349, 707, 235.

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}.