Given numbers are 507,138,414,840

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

The LCM of 507,138,414,840 is 9795240.

Find LCM of 507,138,414,840 with Prime Factorization

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

2 x 3 x 23 x 169 x 1 x 3 x 140 = 9795240

Therefore, the lowest common multiple of 507,138,414,840 is 9795240.

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.

507 x 138 x 414 x 840 = 24331376160

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.

507 : 1, 3, 13, 39, 169, 507

138 : 1, 2, 3, 6, 23, 46, 69, 138

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,138,414,840, is 3.

Now, the common factors can be found like this.

507:3x 13x 13

138:2x 3x 23

414:2x 3x 3x 23

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 3x 3x 23 = 828

Therefore, the value for common factors is 828.

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 = 24331376160/(3x828)

LCM = 24331376160/2484

LCM = 9795240

Thus, we can understand that the LCM of 507,138,414,840 is 9795240.

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

• LCM of 222, 289, 297, 103
• LCM of 564, 641, 247, 225
• LCM of 555, 294, 567, 226
• LCM of 245, 150, 812, 582
• LCM of 719, 629, 889, 498

1. What is the LCM of 507, 138, 414, 840?

Answer: LCM of 507, 138, 414, 840 is 9795240.

2. How to calculate the LCM of 507, 138, 414, 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 507, 138, 414, 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}.