Given numbers are 756,326,368,429,230

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

The LCM of 756,326,368,429,230 is 8105937840.

Find LCM of 756,326,368,429,230 with Prime Factorization

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

2 x 2 x 3 x 23 x 63 x 163 x 4 x 143 x 5 = 8105937840

Therefore, the lowest common multiple of 756,326,368,429,230 is 8105937840.

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 326 x 368 x 429 x 230 = 8948955375360

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

326 : 1, 2, 163, 326

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

429 : 1, 3, 11, 13, 33, 39, 143, 429

230 : 1, 2, 5, 10, 23, 46, 115, 230

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,326,368,429,230, is 1.

Now, the common factors can be found like this.

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

326:2x 163

368:2x 2x 2x 2x 23

429:3x 11x 13

230:2x 5x 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 23 = 1104

Therefore, the value for common factors is 1104.

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 = 8948955375360/(1x1104)

LCM = 8948955375360/1104

LCM = 8105937840

Thus, we can understand that the LCM of 756,326,368,429,230 is 8105937840.

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

• LCM of 169, 347, 646, 296, 950
• LCM of 916, 222, 445, 915, 390
• LCM of 244, 983, 629, 825, 585
• LCM of 762, 929, 905, 865, 566
• LCM of 627, 445, 251, 511, 524

1. What is the LCM of 756, 326, 368, 429, 230?

Answer: LCM of 756, 326, 368, 429, 230 is 8105937840.

2. How to calculate the LCM of 756, 326, 368, 429, 230?

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, 326, 368, 429, 230.

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}.