Given numbers are 510,130,964,360

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

The LCM of 510,130,964,360 is 19173960.

Find LCM of 510,130,964,360 with Prime Factorization

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

2 x 2 x 3 x 5 x 17 x 13 x 241 x 6 = 19173960

Therefore, the lowest common multiple of 510,130,964,360 is 19173960.

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.

510 x 130 x 964 x 360 = 23008752000

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.

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

130 : 1, 2, 5, 10, 13, 26, 65, 130

964 : 1, 2, 4, 241, 482, 964

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,130,964,360, is 2.

Now, the common factors can be found like this.

510:2x 3x 5x 17

130:2x 5x 13

964:2x 2x 241

360:2x 2x 2x 3x 3x 5

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 3x 5x 5 = 600

Therefore, the value for common factors is 600.

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 = 23008752000/(2x600)

LCM = 23008752000/1200

LCM = 19173960

Thus, we can understand that the LCM of 510,130,964,360 is 19173960.

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

• LCM of 416, 812, 208, 296
• LCM of 466, 846, 300, 591
• LCM of 597, 242, 581, 826
• LCM of 930, 280, 525, 650
• LCM of 222, 321, 570, 520

1. What is the LCM of 510, 130, 964, 360?

Answer: LCM of 510, 130, 964, 360 is 19173960.

2. How to calculate the LCM of 510, 130, 964, 360?

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 510, 130, 964, 360.

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}.