Given numbers are 754,988,214,780,125

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

The LCM of 754,988,214,780,125 is 1149661500.

Find LCM of 754,988,214,780,125 with Prime Factorization

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

2 x 2 x 5 x 13 x 29 x 19 x 107 x 3 x 25 = 1149661500

Therefore, the lowest common multiple of 754,988,214,780,125 is 1149661500.

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.

754 x 988 x 214 x 780 x 125 = 15543423480000

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.

754 : 1, 2, 13, 26, 29, 58, 377, 754

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

214 : 1, 2, 107, 214

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

125 : 1, 5, 25, 125

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,988,214,780,125, is 1.

Now, the common factors can be found like this.

754:2x 13x 29

988:2x 2x 13x 19

214:2x 107

780:2x 2x 3x 5x 13

125:5x 5x 5

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 5x 13x 13 = 13520

Therefore, the value for common factors is 13520.

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 = 15543423480000/(1x13520)

LCM = 15543423480000/13520

LCM = 1149661500

Thus, we can understand that the LCM of 754,988,214,780,125 is 1149661500.

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

• LCM of 147, 748, 721, 183, 103
• LCM of 653, 462, 901, 601, 636
• LCM of 591, 227, 406, 143, 436
• LCM of 653, 104, 926, 814, 411
• LCM of 856, 318, 150, 509, 102

1. What is the LCM of 754, 988, 214, 780, 125?

Answer: LCM of 754, 988, 214, 780, 125 is 1149661500.

2. How to calculate the LCM of 754, 988, 214, 780, 125?

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 754, 988, 214, 780, 125.

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}.