Given numbers are 756,460,843,276

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

The LCM of 756,460,843,276 is 24430140.

Find LCM of 756,460,843,276 with Prime Factorization

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

2 x 2 x 3 x 23 x 63 x 5 x 281 x 1 = 24430140

Therefore, the lowest common multiple of 756,460,843,276 is 24430140.

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.

756 x 460 x 843 x 276 = 80912623680

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

843 : 1, 3, 281, 843

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,460,843,276, is 1.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

460:2x 2x 5x 23

843:3x 281

276:2x 2x 3x 23

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 23 = 3312

Therefore, the value for common factors is 3312.

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 = 80912623680/(1x3312)

LCM = 80912623680/3312

LCM = 24430140

Thus, we can understand that the LCM of 756,460,843,276 is 24430140.

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

• LCM of 622, 513, 599, 232
• LCM of 493, 458, 958, 972
• LCM of 105, 118, 605, 656
• LCM of 950, 176, 973, 729
• LCM of 419, 301, 688, 110

1. What is the LCM of 756, 460, 843, 276?

Answer: LCM of 756, 460, 843, 276 is 24430140.

2. How to calculate the LCM of 756, 460, 843, 276?

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 756, 460, 843, 276.

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}.