Given numbers are 540,326,935,464,734

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

The LCM of 540,326,935,464,734 is 700724051280.

Find LCM of 540,326,935,464,734 with Prime Factorization

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

2 x 2 x 5 x 27 x 163 x 187 x 116 x 367 = 700724051280

Therefore, the lowest common multiple of 540,326,935,464,734 is 700724051280.

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.

540 x 326 x 935 x 464 x 734 = 56057924102400

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.

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

935 : 1, 5, 11, 17, 55, 85, 187, 935

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

734 : 1, 2, 367, 734

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,326,935,464,734, is 1.

Now, the common factors can be found like this.

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

326:2x 163

935:5x 11x 17

464:2x 2x 2x 2x 29

734:2x 367

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 5 = 80

Therefore, the value for common factors is 80.

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 = 56057924102400/(1x80)

LCM = 56057924102400/80

LCM = 700724051280

Thus, we can understand that the LCM of 540,326,935,464,734 is 700724051280.

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

• LCM of 175, 356, 218, 833, 345
• LCM of 771, 337, 369, 434, 763
• LCM of 835, 798, 409, 459, 430
• LCM of 101, 114, 857, 518, 487
• LCM of 910, 193, 955, 116, 572

1. What is the LCM of 540, 326, 935, 464, 734?

Answer: LCM of 540, 326, 935, 464, 734 is 700724051280.

2. How to calculate the LCM of 540, 326, 935, 464, 734?

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 540, 326, 935, 464, 734.

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}.