Given numbers are 840,314,679,201,462

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

The LCM of 840,314,679,201,462 is 9427969320.

Find LCM of 840,314,679,201,462 with Prime Factorization

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

2 x 3 x 7 x 20 x 157 x 97 x 67 x 11 = 9427969320

Therefore, the lowest common multiple of 840,314,679,201,462 is 9427969320.

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.

840 x 314 x 679 x 201 x 462 = 16630937880480

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.

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

314 : 1, 2, 157, 314

679 : 1, 7, 97, 679

201 : 1, 3, 67, 201

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,314,679,201,462, is 1.

Now, the common factors can be found like this.

840:2x 2x 2x 3x 5x 7

314:2x 157

679:7x 97

201:3x 67

462:2x 3x 7x 11

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 3x 3x 7x 7 = 1764

Therefore, the value for common factors is 1764.

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 = 16630937880480/(1x1764)

LCM = 16630937880480/1764

LCM = 9427969320

Thus, we can understand that the LCM of 840,314,679,201,462 is 9427969320.

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

• LCM of 968, 119, 494, 430, 516
• LCM of 984, 743, 987, 762, 351
• LCM of 176, 846, 252, 914, 500
• LCM of 431, 800, 528, 754, 392
• LCM of 907, 927, 242, 443, 606

1. What is the LCM of 840, 314, 679, 201, 462?

Answer: LCM of 840, 314, 679, 201, 462 is 9427969320.

2. How to calculate the LCM of 840, 314, 679, 201, 462?

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 840, 314, 679, 201, 462.

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}.