Given numbers are 678,432,724,540,326

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

The LCM of 678,432,724,540,326 is 7201092240.

Find LCM of 678,432,724,540,326 with Prime Factorization

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

2 x 2 x 3 x 3 x 3 x 113 x 4 x 181 x 5 x 163 = 7201092240

Therefore, the lowest common multiple of 678,432,724,540,326 is 7201092240.

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.

678 x 432 x 724 x 540 x 326 = 37330462172160

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

724 : 1, 2, 4, 181, 362, 724

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

326 : 1, 2, 163, 326

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,432,724,540,326, is 2.

Now, the common factors can be found like this.

678:2x 3x 113

432:2x 2x 2x 2x 3x 3x 3

724:2x 2x 181

540:2x 2x 3x 3x 3x 5

326:2x 163

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 2x 3x 3x 3x 3 = 2592

Therefore, the value for common factors is 2592.

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 = 37330462172160/(2x2592)

LCM = 37330462172160/5184

LCM = 7201092240

Thus, we can understand that the LCM of 678,432,724,540,326 is 7201092240.

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

• LCM of 610, 123, 154, 196, 553
• LCM of 762, 945, 936, 283, 333
• LCM of 106, 761, 389, 879, 392
• LCM of 160, 968, 337, 833, 701
• LCM of 464, 625, 744, 667, 125

1. What is the LCM of 678, 432, 724, 540, 326?

Answer: LCM of 678, 432, 724, 540, 326 is 7201092240.

2. How to calculate the LCM of 678, 432, 724, 540, 326?

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 678, 432, 724, 540, 326.

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}.