Given numbers are 510,104,380,635,620

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

The LCM of 510,104,380,635,620 is 1983775560.

Find LCM of 510,104,380,635,620 with Prime Factorization

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

2 x 2 x 5 x 51 x 26 x 19 x 127 x 31 = 1983775560

Therefore, the lowest common multiple of 510,104,380,635,620 is 1983775560.

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 104 x 380 x 635 x 620 = 7935102240000

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

635 : 1, 5, 127, 635

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,104,380,635,620, is 1.

Now, the common factors can be found like this.

510:2x 3x 5x 17

104:2x 2x 2x 13

380:2x 2x 5x 19

635:5x 127

620:2x 2x 5x 31

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 2x 5x 5x 5 = 4000

Therefore, the value for common factors is 4000.

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 = 7935102240000/(1x4000)

LCM = 7935102240000/4000

LCM = 1983775560

Thus, we can understand that the LCM of 510,104,380,635,620 is 1983775560.

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

• LCM of 296, 958, 458, 473, 299
• LCM of 786, 727, 604, 577, 942
• LCM of 778, 655, 380, 705, 260
• LCM of 273, 865, 592, 786, 745
• LCM of 417, 483, 194, 860, 293

1. What is the LCM of 510, 104, 380, 635, 620?

Answer: LCM of 510, 104, 380, 635, 620 is 1983775560.

2. How to calculate the LCM of 510, 104, 380, 635, 620?

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, 104, 380, 635, 620.

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}.