Given numbers are 310,714,452,272

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

The LCM of 310,714,452,272 is 100045680.

Find LCM of 310,714,452,272 with Prime Factorization

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

2 x 2 x 17 x 155 x 21 x 113 x 4 = 100045680

Therefore, the lowest common multiple of 310,714,452,272 is 100045680.

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.

310 x 714 x 452 x 272 = 27212424960

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.

310 : 1, 2, 5, 10, 31, 62, 155, 310

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

452 : 1, 2, 4, 113, 226, 452

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,714,452,272, is 2.

Now, the common factors can be found like this.

310:2x 5x 31

714:2x 3x 7x 17

452:2x 2x 113

272:2x 2x 2x 2x 17

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 17 = 136

Therefore, the value for common factors is 136.

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 = 27212424960/(2x136)

LCM = 27212424960/272

LCM = 100045680

Thus, we can understand that the LCM of 310,714,452,272 is 100045680.

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

• LCM of 571, 819, 263, 813
• LCM of 829, 567, 520, 812
• LCM of 754, 279, 896, 445
• LCM of 610, 839, 272, 806
• LCM of 464, 666, 723, 154

1. What is the LCM of 310, 714, 452, 272?

Answer: LCM of 310, 714, 452, 272 is 100045680.

2. How to calculate the LCM of 310, 714, 452, 272?

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 310, 714, 452, 272.

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}.