Given numbers are 120,468,214,420

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

The LCM of 120,468,214,420 is 3505320.

Find LCM of 120,468,214,420 with Prime Factorization

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

2 x 2 x 3 x 5 x 2 x 39 x 107 x 7 = 3505320

Therefore, the lowest common multiple of 120,468,214,420 is 3505320.

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.

120 x 468 x 214 x 420 = 5047660800

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.

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

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

214 : 1, 2, 107, 214

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 120,468,214,420, is 2.

Now, the common factors can be found like this.

120:2x 2x 2x 3x 5

468:2x 2x 3x 3x 13

214:2x 107

420:2x 2x 3x 5x 7

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 2x 2x 3x 3x 5 = 720

Therefore, the value for common factors is 720.

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 = 5047660800/(2x720)

LCM = 5047660800/1440

LCM = 3505320

Thus, we can understand that the LCM of 120,468,214,420 is 3505320.

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

• LCM of 504, 610, 555, 787
• LCM of 180, 102, 303, 636
• LCM of 938, 759, 360, 728
• LCM of 147, 762, 909, 546
• LCM of 682, 399, 831, 117

1. What is the LCM of 120, 468, 214, 420?

Answer: LCM of 120, 468, 214, 420 is 3505320.

2. How to calculate the LCM of 120, 468, 214, 420?

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 120, 468, 214, 420.

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}.