Given numbers are 148,624,772,556,644

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

The LCM of 148,624,772,556,644 is 99720465936.

Find LCM of 148,624,772,556,644 with Prime Factorization

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

2 x 2 x 37 x 156 x 193 x 139 x 161 = 99720465936

Therefore, the lowest common multiple of 148,624,772,556,644 is 99720465936.

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.

148 x 624 x 772 x 556 x 644 = 25528439279616

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.

148 : 1, 2, 4, 37, 74, 148

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

772 : 1, 2, 4, 193, 386, 772

556 : 1, 2, 4, 139, 278, 556

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,624,772,556,644, is 4.

Now, the common factors can be found like this.

148:2x 2x 37

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

772:2x 2x 193

556:2x 2x 139

644:2x 2x 7x 23

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 2 = 64

Therefore, the value for common factors is 64.

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 = 25528439279616/(4x64)

LCM = 25528439279616/256

LCM = 99720465936

Thus, we can understand that the LCM of 148,624,772,556,644 is 99720465936.

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

• LCM of 750, 971, 401, 144, 111
• LCM of 665, 847, 510, 889, 433
• LCM of 112, 566, 854, 926, 707
• LCM of 935, 109, 727, 998, 189
• LCM of 536, 294, 187, 207, 911

1. What is the LCM of 148, 624, 772, 556, 644?

Answer: LCM of 148, 624, 772, 556, 644 is 99720465936.

2. How to calculate the LCM of 148, 624, 772, 556, 644?

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 148, 624, 772, 556, 644.

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}.