Given numbers are 506,507,978,840

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

The LCM of 506,507,978,840 is 5854288440.

Find LCM of 506,507,978,840 with Prime Factorization

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

2 x 3 x 253 x 169 x 163 x 140 = 5854288440

Therefore, the lowest common multiple of 506,507,978,840 is 5854288440.

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.

506 x 507 x 978 x 840 = 210754383840

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

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

978 : 1, 2, 3, 6, 163, 326, 489, 978

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,507,978,840, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

507:3x 13x 13

978:2x 3x 163

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 3 = 36

Therefore, the value for common factors is 36.

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 = 210754383840/(1x36)

LCM = 210754383840/36

LCM = 5854288440

Thus, we can understand that the LCM of 506,507,978,840 is 5854288440.

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

• LCM of 254, 560, 231, 593
• LCM of 680, 516, 466, 666
• LCM of 157, 370, 110, 833
• LCM of 571, 323, 598, 594
• LCM of 919, 841, 116, 424

1. What is the LCM of 506, 507, 978, 840?

Answer: LCM of 506, 507, 978, 840 is 5854288440.

2. How to calculate the LCM of 506, 507, 978, 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 506, 507, 978, 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}.