Given numbers are 306,507,962,868,420

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

The LCM of 306,507,962,868,420 is 4152117060.

Find LCM of 306,507,962,868,420 with Prime Factorization

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

2 x 2 x 3 x 7 x 13 x 51 x 13 x 37 x 31 x 5 = 4152117060

Therefore, the lowest common multiple of 306,507,962,868,420 is 4152117060.

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.

306 x 507 x 962 x 868 x 420 = 54409341954240

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.

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

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

962 : 1, 2, 13, 26, 37, 74, 481, 962

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,507,962,868,420, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

507:3x 13x 13

962:2x 13x 37

868:2x 2x 7x 31

420:2x 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 3x 3x 7x 13 = 13104

Therefore, the value for common factors is 13104.

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 = 54409341954240/(1x13104)

LCM = 54409341954240/13104

LCM = 4152117060

Thus, we can understand that the LCM of 306,507,962,868,420 is 4152117060.

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

• LCM of 243, 954, 438, 357, 183
• LCM of 410, 342, 894, 105, 770
• LCM of 299, 717, 106, 679, 698
• LCM of 532, 971, 272, 789, 256
• LCM of 289, 449, 644, 397, 503

1. What is the LCM of 306, 507, 962, 868, 420?

Answer: LCM of 306, 507, 962, 868, 420 is 4152117060.

2. How to calculate the LCM of 306, 507, 962, 868, 420?

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 306, 507, 962, 868, 420.

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}.