Given numbers are 363,214,101,540

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

The LCM of 363,214,101,540 is 706129380.

Find LCM of 363,214,101,540 with Prime Factorization

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

2 x 3 x 121 x 107 x 101 x 90 = 706129380

Therefore, the lowest common multiple of 363,214,101,540 is 706129380.

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.

363 x 214 x 101 x 540 = 4236776280

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.

363 : 1, 3, 11, 33, 121, 363

214 : 1, 2, 107, 214

101 : 1, 101

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,214,101,540, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

214:2x 107

101:101

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

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 4236776280/(1x6)

LCM = 4236776280/6

LCM = 706129380

Thus, we can understand that the LCM of 363,214,101,540 is 706129380.

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

• LCM of 690, 464, 865, 492
• LCM of 647, 248, 434, 191
• LCM of 558, 330, 403, 570
• LCM of 969, 827, 803, 967
• LCM of 763, 851, 445, 840

1. What is the LCM of 363, 214, 101, 540?

Answer: LCM of 363, 214, 101, 540 is 706129380.

2. How to calculate the LCM of 363, 214, 101, 540?

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 363, 214, 101, 540.

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}.