Given numbers are 940,880,412,684,977

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

The LCM of 940,880,412,684,977 is 711718785360.

Find LCM of 940,880,412,684,977 with Prime Factorization

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

2 x 2 x 5 x 47 x 44 x 103 x 171 x 977 = 711718785360

Therefore, the lowest common multiple of 940,880,412,684,977 is 711718785360.

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.

940 x 880 x 412 x 684 x 977 = 227750011315200

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.

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

412 : 1, 2, 4, 103, 206, 412

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

977 : 1, 977

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 940,880,412,684,977, is 1.

Now, the common factors can be found like this.

940:2x 2x 5x 47

880:2x 2x 2x 2x 5x 11

412:2x 2x 103

684:2x 2x 3x 3x 19

977:977

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 2x 2x 2x 2x 5 = 320

Therefore, the value for common factors is 320.

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 = 227750011315200/(1x320)

LCM = 227750011315200/320

LCM = 711718785360

Thus, we can understand that the LCM of 940,880,412,684,977 is 711718785360.

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

• LCM of 967, 564, 636, 846, 296
• LCM of 355, 611, 277, 755, 368
• LCM of 460, 400, 414, 389, 141
• LCM of 427, 516, 225, 767, 384
• LCM of 964, 795, 741, 238, 644

1. What is the LCM of 940, 880, 412, 684, 977?

Answer: LCM of 940, 880, 412, 684, 977 is 711718785360.

2. How to calculate the LCM of 940, 880, 412, 684, 977?

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 940, 880, 412, 684, 977.

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}.