Given numbers are 540,986,876,160,364

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

The LCM of 540,986,876,160,364 is 14147995680.

Find LCM of 540,986,876,160,364 with Prime Factorization

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

2 x 2 x 3 x 5 x 9 x 493 x 73 x 8 x 91 = 14147995680

Therefore, the lowest common multiple of 540,986,876,160,364 is 14147995680.

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 986 x 876 x 160 x 364 = 27164151705600

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

986 : 1, 2, 17, 29, 34, 58, 493, 986

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,986,876,160,364, is 2.

Now, the common factors can be found like this.

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

986:2x 17x 29

876:2x 2x 3x 73

160:2x 2x 2x 2x 2x 5

364:2x 2x 7x 13

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 2x 3x 5 = 960

Therefore, the value for common factors is 960.

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 = 27164151705600/(2x960)

LCM = 27164151705600/1920

LCM = 14147995680

Thus, we can understand that the LCM of 540,986,876,160,364 is 14147995680.

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

• LCM of 615, 740, 196, 369, 347
• LCM of 688, 682, 387, 597, 129
• LCM of 513, 769, 981, 890, 216
• LCM of 435, 220, 552, 712, 678
• LCM of 406, 873, 645, 249, 176

1. What is the LCM of 540, 986, 876, 160, 364?

Answer: LCM of 540, 986, 876, 160, 364 is 14147995680.

2. How to calculate the LCM of 540, 986, 876, 160, 364?

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, 986, 876, 160, 364.

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}.