Given numbers are 977,660,741,132,589

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

The LCM of 977,660,741,132,589 is 4937386740.

Find LCM of 977,660,741,132,589 with Prime Factorization

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

2 x 2 x 3 x 11 x 19 x 977 x 5 x 13 x 1 x 31 = 4937386740

Therefore, the lowest common multiple of 977,660,741,132,589 is 4937386740.

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.

977 x 660 x 741 x 132 x 589 = 37148897831760

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.

977 : 1, 977

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

741 : 1, 3, 13, 19, 39, 57, 247, 741

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

589 : 1, 19, 31, 589

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,660,741,132,589, is 1.

Now, the common factors can be found like this.

977:977

660:2x 2x 3x 5x 11

741:3x 13x 19

132:2x 2x 3x 11

589:19x 31

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 11x 19 = 7524

Therefore, the value for common factors is 7524.

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 = 37148897831760/(1x7524)

LCM = 37148897831760/7524

LCM = 4937386740

Thus, we can understand that the LCM of 977,660,741,132,589 is 4937386740.

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

• LCM of 387, 728, 226, 979, 957
• LCM of 156, 254, 100, 691, 983
• LCM of 768, 999, 680, 200, 335
• LCM of 933, 853, 982, 902, 605
• LCM of 897, 168, 764, 345, 329

1. What is the LCM of 977, 660, 741, 132, 589?

Answer: LCM of 977, 660, 741, 132, 589 is 4937386740.

2. How to calculate the LCM of 977, 660, 741, 132, 589?

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 977, 660, 741, 132, 589.

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}.