Given numbers are 746,975,525,974,540

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

The LCM of 746,975,525,974,540 is 44631650700.

Find LCM of 746,975,525,974,540 with Prime Factorization

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

2 x 3 x 5 x 5 x 373 x 13 x 7 x 487 x 18 = 44631650700

Therefore, the lowest common multiple of 746,975,525,974,540 is 44631650700.

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.

746 x 975 x 525 x 974 x 540 = 200842428150000

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.

746 : 1, 2, 373, 746

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

974 : 1, 2, 487, 974

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 746,975,525,974,540, is 1.

Now, the common factors can be found like this.

746:2x 373

975:3x 5x 5x 13

525:3x 5x 5x 7

974:2x 487

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 2x 3x 3x 5x 5x 5 = 4500

Therefore, the value for common factors is 4500.

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 = 200842428150000/(1x4500)

LCM = 200842428150000/4500

LCM = 44631650700

Thus, we can understand that the LCM of 746,975,525,974,540 is 44631650700.

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

• LCM of 901, 808, 390, 535, 326
• LCM of 413, 263, 279, 806, 698
• LCM of 888, 898, 110, 524, 417
• LCM of 412, 176, 463, 825, 900
• LCM of 583, 314, 558, 547, 873

1. What is the LCM of 746, 975, 525, 974, 540?

Answer: LCM of 746, 975, 525, 974, 540 is 44631650700.

2. How to calculate the LCM of 746, 975, 525, 974, 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 746, 975, 525, 974, 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}.