Given numbers are 253,459,339,292,750

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

The LCM of 253,459,339,292,750 is 478965811500.

Find LCM of 253,459,339,292,750 with Prime Factorization

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

2 x 3 x 253 x 153 x 113 x 146 x 125 = 478965811500

Therefore, the lowest common multiple of 253,459,339,292,750 is 478965811500.

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 459 x 339 x 292 x 750 = 8621384607000

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

459 : 1, 3, 9, 17, 27, 51, 153, 459

339 : 1, 3, 113, 339

292 : 1, 2, 4, 73, 146, 292

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,459,339,292,750, is 1.

Now, the common factors can be found like this.

253:11x 23

459:3x 3x 3x 17

339:3x 113

292:2x 2x 73

750:2x 3x 5x 5x 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 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 8621384607000/(1x18)

LCM = 8621384607000/18

LCM = 478965811500

Thus, we can understand that the LCM of 253,459,339,292,750 is 478965811500.

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

• LCM of 773, 238, 500, 738, 314
• LCM of 193, 941, 123, 267, 661
• LCM of 726, 794, 933, 443, 752
• LCM of 987, 503, 766, 695, 148
• LCM of 332, 911, 664, 181, 606

1. What is the LCM of 253, 459, 339, 292, 750?

Answer: LCM of 253, 459, 339, 292, 750 is 478965811500.

2. How to calculate the LCM of 253, 459, 339, 292, 750?

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, 459, 339, 292, 750.

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}.