Given numbers are 254,862,312,714

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

The LCM of 254,862,312,714 is 2032275336.

Find LCM of 254,862,312,714 with Prime Factorization

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

2 x 3 x 127 x 431 x 52 x 119 = 2032275336

Therefore, the lowest common multiple of 254,862,312,714 is 2032275336.

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.

254 x 862 x 312 x 714 = 48774608064

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.

254 : 1, 2, 127, 254

862 : 1, 2, 431, 862

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,862,312,714, is 2.

Now, the common factors can be found like this.

254:2x 127

862:2x 431

312:2x 2x 2x 3x 13

714:2x 3x 7x 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 3 = 12

Therefore, the value for common factors is 12.

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 = 48774608064/(2x12)

LCM = 48774608064/24

LCM = 2032275336

Thus, we can understand that the LCM of 254,862,312,714 is 2032275336.

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

• LCM of 303, 907, 440, 106
• LCM of 426, 347, 654, 224
• LCM of 304, 812, 904, 179
• LCM of 522, 713, 438, 266
• LCM of 530, 689, 417, 348

1. What is the LCM of 254, 862, 312, 714?

Answer: LCM of 254, 862, 312, 714 is 2032275336.

2. How to calculate the LCM of 254, 862, 312, 714?

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 254, 862, 312, 714.

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}.