Given numbers are 714,887,348,268,402

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

The LCM of 714,887,348,268,402 is 2461073748.

Find LCM of 714,887,348,268,402 with Prime Factorization

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

2 x 2 x 3 x 67 x 119 x 887 x 29 x 1 x 1 = 2461073748

Therefore, the lowest common multiple of 714,887,348,268,402 is 2461073748.

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.

714 x 887 x 348 x 268 x 402 = 23744439520704

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.

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

887 : 1, 887

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

268 : 1, 2, 4, 67, 134, 268

402 : 1, 2, 3, 6, 67, 134, 201, 402

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,887,348,268,402, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

887:887

348:2x 2x 3x 29

268:2x 2x 67

402:2x 3x 67

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 3x 3x 67 = 9648

Therefore, the value for common factors is 9648.

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 = 23744439520704/(1x9648)

LCM = 23744439520704/9648

LCM = 2461073748

Thus, we can understand that the LCM of 714,887,348,268,402 is 2461073748.

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

• LCM of 733, 466, 459, 261, 255
• LCM of 321, 863, 328, 397, 451
• LCM of 978, 649, 626, 654, 841
• LCM of 874, 526, 857, 262, 861
• LCM of 934, 382, 925, 596, 797

1. What is the LCM of 714, 887, 348, 268, 402?

Answer: LCM of 714, 887, 348, 268, 402 is 2461073748.

2. How to calculate the LCM of 714, 887, 348, 268, 402?

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 714, 887, 348, 268, 402.

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}.