Given numbers are 437,414,121,320

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

The LCM of 437,414,121,320 is 152285760.

Find LCM of 437,414,121,320 with Prime Factorization

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

2 x 23 x 19 x 9 x 121 x 160 = 152285760

Therefore, the lowest common multiple of 437,414,121,320 is 152285760.

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 414 x 121 x 320 = 7005144960

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

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

121 : 1, 11, 121

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,414,121,320, is 1.

Now, the common factors can be found like this.

437:19x 23

414:2x 3x 3x 23

121:11x 11

320:2x 2x 2x 2x 2x 2x 5

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

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 7005144960/(1x46)

LCM = 7005144960/46

LCM = 152285760

Thus, we can understand that the LCM of 437,414,121,320 is 152285760.

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

• LCM of 452, 943, 927, 983
• LCM of 616, 252, 534, 473
• LCM of 611, 359, 841, 789
• LCM of 733, 982, 222, 164
• LCM of 218, 186, 592, 169

1. What is the LCM of 437, 414, 121, 320?

Answer: LCM of 437, 414, 121, 320 is 152285760.

2. How to calculate the LCM of 437, 414, 121, 320?

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, 414, 121, 320.

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}.