Given numbers are 484,312,780,962,149

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

The LCM of 484,312,780,962,149 is 1040633880.

Find LCM of 484,312,780,962,149 with Prime Factorization

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

2 x 2 x 3 x 13 x 121 x 2 x 5 x 37 x 149 = 1040633880

Therefore, the lowest common multiple of 484,312,780,962,149 is 1040633880.

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.

484 x 312 x 780 x 962 x 149 = 16883244069120

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.

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

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

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

962 : 1, 2, 13, 26, 37, 74, 481, 962

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,312,780,962,149, is 1.

Now, the common factors can be found like this.

484:2x 2x 11x 11

312:2x 2x 2x 3x 13

780:2x 2x 3x 5x 13

962:2x 13x 37

149:149

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 3x 13x 13 = 16224

Therefore, the value for common factors is 16224.

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 = 16883244069120/(1x16224)

LCM = 16883244069120/16224

LCM = 1040633880

Thus, we can understand that the LCM of 484,312,780,962,149 is 1040633880.

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

• LCM of 165, 178, 872, 708, 938
• LCM of 269, 653, 404, 106, 219
• LCM of 615, 547, 305, 423, 411
• LCM of 636, 167, 978, 193, 875
• LCM of 843, 621, 439, 198, 961

1. What is the LCM of 484, 312, 780, 962, 149?

Answer: LCM of 484, 312, 780, 962, 149 is 1040633880.

2. How to calculate the LCM of 484, 312, 780, 962, 149?

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 484, 312, 780, 962, 149.

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}.