Given numbers are 540,745,672,517,626

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

The LCM of 540,745,672,517,626 is 729126588960.

Find LCM of 540,745,672,517,626 with Prime Factorization

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

2 x 2 x 3 x 5 x 9 x 149 x 56 x 517 x 313 = 729126588960

Therefore, the lowest common multiple of 540,745,672,517,626 is 729126588960.

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 745 x 672 x 517 x 626 = 87495190675200

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

745 : 1, 5, 149, 745

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

517 : 1, 11, 47, 517

626 : 1, 2, 313, 626

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,745,672,517,626, is 1.

Now, the common factors can be found like this.

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

745:5x 149

672:2x 2x 2x 2x 2x 3x 7

517:11x 47

626:2x 313

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 3x 5 = 120

Therefore, the value for common factors is 120.

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 = 87495190675200/(1x120)

LCM = 87495190675200/120

LCM = 729126588960

Thus, we can understand that the LCM of 540,745,672,517,626 is 729126588960.

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

• LCM of 230, 886, 361, 592, 544
• LCM of 319, 404, 477, 912, 274
• LCM of 166, 919, 814, 814, 153
• LCM of 183, 303, 295, 725, 879
• LCM of 408, 151, 675, 155, 417

1. What is the LCM of 540, 745, 672, 517, 626?

Answer: LCM of 540, 745, 672, 517, 626 is 729126588960.

2. How to calculate the LCM of 540, 745, 672, 517, 626?

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, 745, 672, 517, 626.

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}.