Given numbers are 540,724,976,364,316

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

The LCM of 540,724,976,364,316 is 171447297840.

Find LCM of 540,724,976,364,316 with Prime Factorization

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

2 x 2 x 135 x 181 x 244 x 91 x 79 = 171447297840

Therefore, the lowest common multiple of 540,724,976,364,316 is 171447297840.

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 724 x 976 x 364 x 316 = 43890508247040

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

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

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

316 : 1, 2, 4, 79, 158, 316

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,724,976,364,316, is 4.

Now, the common factors can be found like this.

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

724:2x 2x 181

976:2x 2x 2x 2x 61

364:2x 2x 7x 13

316:2x 2x 79

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 2 = 64

Therefore, the value for common factors is 64.

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 = 43890508247040/(4x64)

LCM = 43890508247040/256

LCM = 171447297840

Thus, we can understand that the LCM of 540,724,976,364,316 is 171447297840.

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

• LCM of 595, 281, 317, 679, 508
• LCM of 269, 602, 703, 798, 136
• LCM of 211, 732, 569, 202, 630
• LCM of 704, 969, 833, 588, 863
• LCM of 902, 730, 872, 111, 427

1. What is the LCM of 540, 724, 976, 364, 316?

Answer: LCM of 540, 724, 976, 364, 316 is 171447297840.

2. How to calculate the LCM of 540, 724, 976, 364, 316?

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, 724, 976, 364, 316.

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}.