Given numbers are 628,988,756,348,369

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

The LCM of 628,988,756,348,369 is 34857822636.

Find LCM of 628,988,756,348,369 with Prime Factorization

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

2 x 2 x 3 x 3 x 157 x 247 x 21 x 29 x 41 = 34857822636

Therefore, the lowest common multiple of 628,988,756,348,369 is 34857822636.

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.

628 x 988 x 756 x 348 x 369 = 60234317515008

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.

628 : 1, 2, 4, 157, 314, 628

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

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

369 : 1, 3, 9, 41, 123, 369

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,988,756,348,369, is 1.

Now, the common factors can be found like this.

628:2x 2x 157

988:2x 2x 13x 19

756:2x 2x 3x 3x 3x 7

348:2x 2x 3x 29

369:3x 3x 41

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 3x 3x 3 = 1728

Therefore, the value for common factors is 1728.

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 = 60234317515008/(1x1728)

LCM = 60234317515008/1728

LCM = 34857822636

Thus, we can understand that the LCM of 628,988,756,348,369 is 34857822636.

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

• LCM of 469, 240, 932, 842, 331
• LCM of 840, 694, 657, 768, 849
• LCM of 136, 504, 268, 442, 262
• LCM of 948, 744, 131, 120, 585
• LCM of 944, 477, 448, 268, 810

1. What is the LCM of 628, 988, 756, 348, 369?

Answer: LCM of 628, 988, 756, 348, 369 is 34857822636.

2. How to calculate the LCM of 628, 988, 756, 348, 369?

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 628, 988, 756, 348, 369.

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}.