Given numbers are 253,610,217,470

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

The LCM of 253,610,217,470 is 1574011670.

Find LCM of 253,610,217,470 with Prime Factorization

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

2 x 5 x 253 x 61 x 217 x 47 = 1574011670

Therefore, the lowest common multiple of 253,610,217,470 is 1574011670.

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.

253 x 610 x 217 x 470 = 15740116700

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.

253 : 1, 11, 23, 253

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

217 : 1, 7, 31, 217

470 : 1, 2, 5, 10, 47, 94, 235, 470

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,610,217,470, is 1.

Now, the common factors can be found like this.

253:11x 23

610:2x 5x 61

217:7x 31

470:2x 5x 47

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 15740116700/(1x10)

LCM = 15740116700/10

LCM = 1574011670

Thus, we can understand that the LCM of 253,610,217,470 is 1574011670.

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

• LCM of 829, 297, 909, 978
• LCM of 720, 434, 737, 111
• LCM of 749, 659, 657, 588
• LCM of 127, 512, 285, 137
• LCM of 352, 273, 899, 801

1. What is the LCM of 253, 610, 217, 470?

Answer: LCM of 253, 610, 217, 470 is 1574011670.

2. How to calculate the LCM of 253, 610, 217, 470?

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 253, 610, 217, 470.

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}.