Given numbers are 782,416,930,988

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

The LCM of 782,416,930,988 is 1437065760.

Find LCM of 782,416,930,988 with Prime Factorization

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

2 x 2 x 13 x 391 x 8 x 465 x 19 = 1437065760

Therefore, the lowest common multiple of 782,416,930,988 is 1437065760.

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.

782 x 416 x 930 x 988 = 298909678080

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.

782 : 1, 2, 17, 23, 34, 46, 391, 782

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,416,930,988, is 2.

Now, the common factors can be found like this.

782:2x 17x 23

416:2x 2x 2x 2x 2x 13

930:2x 3x 5x 31

988:2x 2x 13x 19

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 13 = 104

Therefore, the value for common factors is 104.

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 = 298909678080/(2x104)

LCM = 298909678080/208

LCM = 1437065760

Thus, we can understand that the LCM of 782,416,930,988 is 1437065760.

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

• LCM of 830, 809, 183, 948
• LCM of 694, 762, 226, 172
• LCM of 117, 475, 407, 967
• LCM of 546, 706, 661, 200
• LCM of 958, 625, 491, 214

1. What is the LCM of 782, 416, 930, 988?

Answer: LCM of 782, 416, 930, 988 is 1437065760.

2. How to calculate the LCM of 782, 416, 930, 988?

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 782, 416, 930, 988.

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}.