Given numbers are 540,538,301,676

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

The LCM of 540,538,301,676 is 7389230940.

Find LCM of 540,538,301,676 with Prime Factorization

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

2 x 2 x 135 x 269 x 301 x 169 = 7389230940

Therefore, the lowest common multiple of 540,538,301,676 is 7389230940.

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 538 x 301 x 676 = 59113847520

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

538 : 1, 2, 269, 538

301 : 1, 7, 43, 301

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,538,301,676, is 1.

Now, the common factors can be found like this.

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

538:2x 269

301:7x 43

676:2x 2x 13x 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 2 = 8

Therefore, the value for common factors is 8.

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 = 59113847520/(1x8)

LCM = 59113847520/8

LCM = 7389230940

Thus, we can understand that the LCM of 540,538,301,676 is 7389230940.

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

• LCM of 495, 961, 452, 331
• LCM of 918, 620, 541, 991
• LCM of 109, 856, 168, 184
• LCM of 342, 437, 862, 854
• LCM of 895, 512, 459, 694

1. What is the LCM of 540, 538, 301, 676?

Answer: LCM of 540, 538, 301, 676 is 7389230940.

2. How to calculate the LCM of 540, 538, 301, 676?

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, 538, 301, 676.

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}.