Given numbers are 872,519,510,577,966

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

The LCM of 872,519,510,577,966 is 3573587807160.

Find LCM of 872,519,510,577,966 with Prime Factorization

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

2 x 3 x 436 x 173 x 85 x 577 x 161 = 3573587807160

Therefore, the lowest common multiple of 872,519,510,577,966 is 3573587807160.

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.

872 x 519 x 510 x 577 x 966 = 128649161057760

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.

872 : 1, 2, 4, 8, 109, 218, 436, 872

519 : 1, 3, 173, 519

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

577 : 1, 577

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,519,510,577,966, is 1.

Now, the common factors can be found like this.

872:2x 2x 2x 109

519:3x 173

510:2x 3x 5x 17

577:577

966:2x 3x 7x 23

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 3 = 36

Therefore, the value for common factors is 36.

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 = 128649161057760/(1x36)

LCM = 128649161057760/36

LCM = 3573587807160

Thus, we can understand that the LCM of 872,519,510,577,966 is 3573587807160.

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

• LCM of 946, 875, 620, 681, 899
• LCM of 917, 543, 971, 402, 188
• LCM of 663, 757, 688, 586, 956
• LCM of 114, 165, 484, 402, 780
• LCM of 334, 542, 628, 111, 464

1. What is the LCM of 872, 519, 510, 577, 966?

Answer: LCM of 872, 519, 510, 577, 966 is 3573587807160.

2. How to calculate the LCM of 872, 519, 510, 577, 966?

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 872, 519, 510, 577, 966.

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}.