Given numbers are 175,130,545,993,540

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

The LCM of 175,130,545,993,540 is 8864610300.

Find LCM of 175,130,545,993,540 with Prime Factorization

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

2 x 3 x 5 x 35 x 13 x 109 x 331 x 18 = 8864610300

Therefore, the lowest common multiple of 175,130,545,993,540 is 8864610300.

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.

175 x 130 x 545 x 993 x 540 = 6648457725000

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.

175 : 1, 5, 7, 25, 35, 175

130 : 1, 2, 5, 10, 13, 26, 65, 130

545 : 1, 5, 109, 545

993 : 1, 3, 331, 993

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 175,130,545,993,540, is 1.

Now, the common factors can be found like this.

175:5x 5x 7

130:2x 5x 13

545:5x 109

993:3x 331

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 3x 5x 5x 5 = 750

Therefore, the value for common factors is 750.

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 = 6648457725000/(1x750)

LCM = 6648457725000/750

LCM = 8864610300

Thus, we can understand that the LCM of 175,130,545,993,540 is 8864610300.

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

• LCM of 638, 114, 136, 575, 519
• LCM of 250, 418, 362, 732, 521
• LCM of 225, 286, 488, 832, 126
• LCM of 279, 252, 984, 716, 730
• LCM of 921, 156, 287, 832, 869

1. What is the LCM of 175, 130, 545, 993, 540?

Answer: LCM of 175, 130, 545, 993, 540 is 8864610300.

2. How to calculate the LCM of 175, 130, 545, 993, 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 175, 130, 545, 993, 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}.