Given numbers are 975,435,840,487

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

The LCM of 975,435,840,487 is 771115800.

Find LCM of 975,435,840,487 with Prime Factorization

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

3 x 5 x 65 x 29 x 56 x 487 = 771115800

Therefore, the lowest common multiple of 975,435,840,487 is 771115800.

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.

975 x 435 x 840 x 487 = 173501055000

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.

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

435 : 1, 3, 5, 15, 29, 87, 145, 435

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

487 : 1, 487

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,435,840,487, is 1.

Now, the common factors can be found like this.

975:3x 5x 5x 13

435:3x 5x 29

840:2x 2x 2x 3x 5x 7

487:487

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

3x 3x 5x 5 = 225

Therefore, the value for common factors is 225.

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 = 173501055000/(1x225)

LCM = 173501055000/225

LCM = 771115800

Thus, we can understand that the LCM of 975,435,840,487 is 771115800.

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

• LCM of 304, 820, 377, 602
• LCM of 539, 193, 712, 246
• LCM of 631, 524, 456, 574
• LCM of 934, 211, 649, 113
• LCM of 930, 559, 258, 147

1. What is the LCM of 975, 435, 840, 487?

Answer: LCM of 975, 435, 840, 487 is 771115800.

2. How to calculate the LCM of 975, 435, 840, 487?

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 975, 435, 840, 487.

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}.