Given numbers are 966,682,521,170,743

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

The LCM of 966,682,521,170,743 is 10838694319530.

Find LCM of 966,682,521,170,743 with Prime Factorization

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

2 x 483 x 341 x 521 x 85 x 743 = 10838694319530

Therefore, the lowest common multiple of 966,682,521,170,743 is 10838694319530.

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.

966 x 682 x 521 x 170 x 743 = 43354777278120

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.

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

682 : 1, 2, 11, 22, 31, 62, 341, 682

521 : 1, 521

170 : 1, 2, 5, 10, 17, 34, 85, 170

743 : 1, 743

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,682,521,170,743, is 1.

Now, the common factors can be found like this.

966:2x 3x 7x 23

682:2x 11x 31

521:521

170:2x 5x 17

743:743

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 43354777278120/(1x4)

LCM = 43354777278120/4

LCM = 10838694319530

Thus, we can understand that the LCM of 966,682,521,170,743 is 10838694319530.

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

• LCM of 869, 554, 811, 938, 800
• LCM of 751, 867, 835, 912, 221
• LCM of 460, 937, 275, 397, 941
• LCM of 541, 520, 771, 836, 882
• LCM of 565, 886, 210, 799, 785

1. What is the LCM of 966, 682, 521, 170, 743?

Answer: LCM of 966, 682, 521, 170, 743 is 10838694319530.

2. How to calculate the LCM of 966, 682, 521, 170, 743?

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 966, 682, 521, 170, 743.

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}.