Given numbers are 734,756,594,684,230

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

The LCM of 734,756,594,684,230 is 6668558820.

Find LCM of 734,756,594,684,230 with Prime Factorization

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

2 x 2 x 3 x 3 x 3 x 367 x 7 x 11 x 19 x 115 = 6668558820

Therefore, the lowest common multiple of 734,756,594,684,230 is 6668558820.

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.

734 x 756 x 594 x 684 x 230 = 51854713384320

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.

734 : 1, 2, 367, 734

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

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,756,594,684,230, is 2.

Now, the common factors can be found like this.

734:2x 367

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

594:2x 3x 3x 3x 11

684:2x 2x 3x 3x 19

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 3x 3x 3x 3 = 3888

Therefore, the value for common factors is 3888.

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 = 51854713384320/(2x3888)

LCM = 51854713384320/7776

LCM = 6668558820

Thus, we can understand that the LCM of 734,756,594,684,230 is 6668558820.

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

• LCM of 281, 461, 968, 352, 495
• LCM of 764, 186, 930, 214, 672
• LCM of 836, 356, 217, 844, 739
• LCM of 938, 705, 191, 522, 571
• LCM of 852, 884, 997, 119, 754

1. What is the LCM of 734, 756, 594, 684, 230?

Answer: LCM of 734, 756, 594, 684, 230 is 6668558820.

2. How to calculate the LCM of 734, 756, 594, 684, 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 734, 756, 594, 684, 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}.