Given numbers are 536,720,402,984

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

The LCM of 536,720,402,984 is 1977840.

Find LCM of 536,720,402,984 with Prime Factorization

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

2 x 2 x 2 x 3 x 67 x 1 x 30 x 1 x 41 = 1977840

Therefore, the lowest common multiple of 536,720,402,984 is 1977840.

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.

536 x 720 x 402 x 984 = 152657602560

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.

536 : 1, 2, 4, 8, 67, 134, 268, 536

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

402 : 1, 2, 3, 6, 67, 134, 201, 402

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 536,720,402,984, is 2.

Now, the common factors can be found like this.

536:2x 2x 2x 67

720:2x 2x 2x 2x 3x 3x 5

402:2x 3x 67

984:2x 2x 2x 3x 41

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 2x 2x 3x 3x 67 = 38592

Therefore, the value for common factors is 38592.

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 = 152657602560/(2x38592)

LCM = 152657602560/77184

LCM = 1977840

Thus, we can understand that the LCM of 536,720,402,984 is 1977840.

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

• LCM of 679, 615, 393, 256
• LCM of 846, 748, 625, 607
• LCM of 261, 373, 519, 737
• LCM of 988, 677, 403, 295
• LCM of 859, 483, 739, 638

1. What is the LCM of 536, 720, 402, 984?

Answer: LCM of 536, 720, 402, 984 is 1977840.

2. How to calculate the LCM of 536, 720, 402, 984?

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 536, 720, 402, 984.

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}.