Given numbers are 628,976,624,988

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

The LCM of 628,976,624,988 is 113544912.

Find LCM of 628,976,624,988 with Prime Factorization

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

2 x 2 x 2 x 2 x 13 x 157 x 61 x 3 x 19 = 113544912

Therefore, the lowest common multiple of 628,976,624,988 is 113544912.

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 976 x 624 x 988 = 377877467136

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

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,976,624,988, is 4.

Now, the common factors can be found like this.

628:2x 2x 157

976:2x 2x 2x 2x 61

624:2x 2x 2x 2x 3x 13

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 2x 2x 2x 13 = 832

Therefore, the value for common factors is 832.

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 = 377877467136/(4x832)

LCM = 377877467136/3328

LCM = 113544912

Thus, we can understand that the LCM of 628,976,624,988 is 113544912.

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

• LCM of 449, 383, 942, 658
• LCM of 270, 511, 967, 821
• LCM of 811, 947, 132, 885
• LCM of 106, 252, 171, 429
• LCM of 287, 945, 230, 880

1. What is the LCM of 628, 976, 624, 988?

Answer: LCM of 628, 976, 624, 988 is 113544912.

2. How to calculate the LCM of 628, 976, 624, 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 628, 976, 624, 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}.