Given numbers are 610,510,422,100,788

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

The LCM of 610,510,422,100,788 is 12931493700.

Find LCM of 610,510,422,100,788 with Prime Factorization

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

2 x 2 x 5 x 61 x 51 x 211 x 5 x 197 = 12931493700

Therefore, the lowest common multiple of 610,510,422,100,788 is 12931493700.

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.

610 x 510 x 422 x 100 x 788 = 10345194960000

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.

610 : 1, 2, 5, 10, 61, 122, 305, 610

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

422 : 1, 2, 211, 422

100 : 1, 2, 4, 5, 10, 20, 25, 50, 100

788 : 1, 2, 4, 197, 394, 788

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 610,510,422,100,788, is 2.

Now, the common factors can be found like this.

610:2x 5x 61

510:2x 3x 5x 17

422:2x 211

100:2x 2x 5x 5

788:2x 2x 197

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 5x 5 = 400

Therefore, the value for common factors is 400.

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 = 10345194960000/(2x400)

LCM = 10345194960000/800

LCM = 12931493700

Thus, we can understand that the LCM of 610,510,422,100,788 is 12931493700.

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

• LCM of 646, 814, 896, 136, 164
• LCM of 410, 636, 552, 838, 427
• LCM of 891, 740, 258, 675, 521
• LCM of 151, 559, 297, 825, 637
• LCM of 815, 946, 177, 176, 224

1. What is the LCM of 610, 510, 422, 100, 788?

Answer: LCM of 610, 510, 422, 100, 788 is 12931493700.

2. How to calculate the LCM of 610, 510, 422, 100, 788?

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 610, 510, 422, 100, 788.

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}.