Given numbers are 540,452,380,706

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

The LCM of 540,452,380,706 is 409261140.

Find LCM of 540,452,380,706 with Prime Factorization

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

2 x 2 x 5 x 27 x 113 x 19 x 353 = 409261140

Therefore, the lowest common multiple of 540,452,380,706 is 409261140.

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 452 x 380 x 706 = 65481782400

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

452 : 1, 2, 4, 113, 226, 452

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

706 : 1, 2, 353, 706

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,452,380,706, is 2.

Now, the common factors can be found like this.

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

452:2x 2x 113

380:2x 2x 5x 19

706:2x 353

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 = 65481782400/(2x80)

LCM = 65481782400/160

LCM = 409261140

Thus, we can understand that the LCM of 540,452,380,706 is 409261140.

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

• LCM of 845, 536, 943, 967
• LCM of 814, 155, 976, 763
• LCM of 590, 470, 603, 478
• LCM of 585, 166, 826, 358
• LCM of 568, 495, 474, 862

1. What is the LCM of 540, 452, 380, 706?

Answer: LCM of 540, 452, 380, 706 is 409261140.

2. How to calculate the LCM of 540, 452, 380, 706?

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, 452, 380, 706.

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}.