Given numbers are 453,984,214,417,420

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

The LCM of 453,984,214,417,420 is 77346144120.

Find LCM of 453,984,214,417,420 with Prime Factorization

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

2 x 2 x 3 x 151 x 82 x 107 x 139 x 35 = 77346144120

Therefore, the lowest common multiple of 453,984,214,417,420 is 77346144120.

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.

453 x 984 x 214 x 417 x 420 = 16706767129920

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.

453 : 1, 3, 151, 453

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

214 : 1, 2, 107, 214

417 : 1, 3, 139, 417

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 453,984,214,417,420, is 1.

Now, the common factors can be found like this.

453:3x 151

984:2x 2x 2x 3x 41

214:2x 107

417:3x 139

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 16706767129920/(1x216)

LCM = 16706767129920/216

LCM = 77346144120

Thus, we can understand that the LCM of 453,984,214,417,420 is 77346144120.

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

• LCM of 624, 145, 308, 846, 212
• LCM of 374, 112, 500, 821, 803
• LCM of 629, 155, 746, 944, 529
• LCM of 914, 563, 613, 909, 994
• LCM of 683, 901, 218, 498, 466

1. What is the LCM of 453, 984, 214, 417, 420?

Answer: LCM of 453, 984, 214, 417, 420 is 77346144120.

2. How to calculate the LCM of 453, 984, 214, 417, 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 453, 984, 214, 417, 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}.