Given numbers are 457,745,965,975,469

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

The LCM of 457,745,965,975,469 is 6009484728975.

Find LCM of 457,745,965,975,469 with Prime Factorization

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

5 x 457 x 149 x 193 x 195 x 469 = 6009484728975

Therefore, the lowest common multiple of 457,745,965,975,469 is 6009484728975.

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.

457 x 745 x 965 x 975 x 469 = 150237118224375

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.

457 : 1, 457

745 : 1, 5, 149, 745

965 : 1, 5, 193, 965

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

469 : 1, 7, 67, 469

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,745,965,975,469, is 1.

Now, the common factors can be found like this.

457:457

745:5x 149

965:5x 193

975:3x 5x 5x 13

469:7x 67

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 150237118224375/(1x25)

LCM = 150237118224375/25

LCM = 6009484728975

Thus, we can understand that the LCM of 457,745,965,975,469 is 6009484728975.

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

• LCM of 523, 739, 806, 965, 573
• LCM of 531, 773, 588, 954, 111
• LCM of 981, 693, 801, 687, 734
• LCM of 454, 594, 190, 868, 451
• LCM of 674, 370, 441, 669, 138

1. What is the LCM of 457, 745, 965, 975, 469?

Answer: LCM of 457, 745, 965, 975, 469 is 6009484728975.

2. How to calculate the LCM of 457, 745, 965, 975, 469?

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 457, 745, 965, 975, 469.

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}.