Given numbers are 274,530,962,900,745

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

The LCM of 274,530,962,900,745 is 468349748100.

Find LCM of 274,530,962,900,745 with Prime Factorization

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

2 x 5 x 137 x 53 x 481 x 90 x 149 = 468349748100

Therefore, the lowest common multiple of 274,530,962,900,745 is 468349748100.

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.

274 x 530 x 962 x 900 x 745 = 93669949620000

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.

274 : 1, 2, 137, 274

530 : 1, 2, 5, 10, 53, 106, 265, 530

962 : 1, 2, 13, 26, 37, 74, 481, 962

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

745 : 1, 5, 149, 745

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,530,962,900,745, is 1.

Now, the common factors can be found like this.

274:2x 137

530:2x 5x 53

962:2x 13x 37

900:2x 2x 3x 3x 5x 5

745:5x 149

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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 93669949620000/(1x200)

LCM = 93669949620000/200

LCM = 468349748100

Thus, we can understand that the LCM of 274,530,962,900,745 is 468349748100.

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

• LCM of 761, 877, 994, 592, 905
• LCM of 155, 979, 777, 640, 628
• LCM of 703, 339, 156, 887, 623
• LCM of 553, 558, 711, 267, 371
• LCM of 887, 762, 119, 654, 647

1. What is the LCM of 274, 530, 962, 900, 745?

Answer: LCM of 274, 530, 962, 900, 745 is 468349748100.

2. How to calculate the LCM of 274, 530, 962, 900, 745?

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 274, 530, 962, 900, 745.

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}.