Given numbers are 624,340,252,972,956

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

The LCM of 624,340,252,972,956 is 7187609520.

Find LCM of 624,340,252,972,956 with Prime Factorization

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

2 x 2 x 3 x 3 x 52 x 85 x 7 x 27 x 239 = 7187609520

Therefore, the lowest common multiple of 624,340,252,972,956 is 7187609520.

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.

624 x 340 x 252 x 972 x 956 = 49680757002240

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.

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

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

956 : 1, 2, 4, 239, 478, 956

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,340,252,972,956, is 4.

Now, the common factors can be found like this.

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

340:2x 2x 5x 17

252:2x 2x 3x 3x 7

972:2x 2x 3x 3x 3x 3x 3

956:2x 2x 239

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 = 49680757002240/(4x1728)

LCM = 49680757002240/6912

LCM = 7187609520

Thus, we can understand that the LCM of 624,340,252,972,956 is 7187609520.

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

• LCM of 338, 636, 615, 756, 664
• LCM of 935, 370, 686, 322, 811
• LCM of 296, 480, 967, 661, 271
• LCM of 720, 486, 349, 421, 844
• LCM of 751, 452, 222, 315, 851

1. What is the LCM of 624, 340, 252, 972, 956?

Answer: LCM of 624, 340, 252, 972, 956 is 7187609520.

2. How to calculate the LCM of 624, 340, 252, 972, 956?

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 624, 340, 252, 972, 956.

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}.