Given numbers are 437,165,120,215,879

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

The LCM of 437,165,120,215,879 is 7267607160.

Find LCM of 437,165,120,215,879 with Prime Factorization

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

3 x 5 x 437 x 11 x 8 x 43 x 293 = 7267607160

Therefore, the lowest common multiple of 437,165,120,215,879 is 7267607160.

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.

437 x 165 x 120 x 215 x 879 = 1635211611000

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.

437 : 1, 19, 23, 437

165 : 1, 3, 5, 11, 15, 33, 55, 165

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

215 : 1, 5, 43, 215

879 : 1, 3, 293, 879

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,165,120,215,879, is 1.

Now, the common factors can be found like this.

437:19x 23

165:3x 5x 11

120:2x 2x 2x 3x 5

215:5x 43

879:3x 293

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

3x 3x 5x 5 = 225

Therefore, the value for common factors is 225.

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 = 1635211611000/(1x225)

LCM = 1635211611000/225

LCM = 7267607160

Thus, we can understand that the LCM of 437,165,120,215,879 is 7267607160.

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

• LCM of 658, 744, 926, 331, 490
• LCM of 467, 806, 519, 666, 741
• LCM of 187, 199, 620, 391, 209
• LCM of 965, 563, 496, 375, 136
• LCM of 636, 594, 701, 644, 987

1. What is the LCM of 437, 165, 120, 215, 879?

Answer: LCM of 437, 165, 120, 215, 879 is 7267607160.

2. How to calculate the LCM of 437, 165, 120, 215, 879?

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 437, 165, 120, 215, 879.

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}.