Given numbers are 540,696,334,840

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

The LCM of 540,696,334,840 is 36613080.

Find LCM of 540,696,334,840 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 9 x 29 x 167 x 7 = 36613080

Therefore, the lowest common multiple of 540,696,334,840 is 36613080.

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.

540 x 696 x 334 x 840 = 105445670400

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.

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

334 : 1, 2, 167, 334

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,696,334,840, is 2.

Now, the common factors can be found like this.

540:2x 2x 3x 3x 3x 5

696:2x 2x 2x 3x 29

334:2x 167

840:2x 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 2x 3x 3x 5 = 1440

Therefore, the value for common factors is 1440.

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 = 105445670400/(2x1440)

LCM = 105445670400/2880

LCM = 36613080

Thus, we can understand that the LCM of 540,696,334,840 is 36613080.

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

• LCM of 101, 176, 455, 508
• LCM of 688, 603, 548, 391
• LCM of 767, 706, 863, 863
• LCM of 937, 500, 112, 385
• LCM of 795, 368, 885, 219

1. What is the LCM of 540, 696, 334, 840?

Answer: LCM of 540, 696, 334, 840 is 36613080.

2. How to calculate the LCM of 540, 696, 334, 840?

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 540, 696, 334, 840.

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}.