Given numbers are 507,403,780,910

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

The LCM of 507,403,780,910 is 2200380.

Find LCM of 507,403,780,910 with Prime Factorization

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

2 x 3 x 5 x 13 x 13 x 31 x 2 x 7 = 2200380

Therefore, the lowest common multiple of 507,403,780,910 is 2200380.

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 403 x 780 x 910 = 145027045800

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

403 : 1, 13, 31, 403

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,403,780,910, is 13.

Now, the common factors can be found like this.

507:3x 13x 13

403:13x 31

780:2x 2x 3x 5x 13

910:2x 5x 7x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 5x 13x 13 = 5070

Therefore, the value for common factors is 5070.

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 = 145027045800/(13x5070)

LCM = 145027045800/65910

LCM = 2200380

Thus, we can understand that the LCM of 507,403,780,910 is 2200380.

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

• LCM of 524, 385, 376, 894
• LCM of 168, 720, 911, 401
• LCM of 655, 315, 877, 585
• LCM of 462, 253, 813, 580
• LCM of 712, 376, 859, 368

1. What is the LCM of 507, 403, 780, 910?

Answer: LCM of 507, 403, 780, 910 is 2200380.

2. How to calculate the LCM of 507, 403, 780, 910?

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, 403, 780, 910.

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}.