Given numbers are 125,431,816,471,314

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

The LCM of 125,431,816,471,314 is 6902034000.

Find LCM of 125,431,816,471,314 with Prime Factorization

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

2 x 3 x 157 x 125 x 431 x 136 x 1 x 1 = 6902034000

Therefore, the lowest common multiple of 125,431,816,471,314 is 6902034000.

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.

125 x 431 x 816 x 471 x 314 = 6501716028000

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.

125 : 1, 5, 25, 125

431 : 1, 431

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

471 : 1, 3, 157, 471

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 125,431,816,471,314, is 1.

Now, the common factors can be found like this.

125:5x 5x 5

431:431

816:2x 2x 2x 2x 3x 17

471:3x 157

314:2x 157

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 157 = 942

Therefore, the value for common factors is 942.

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 = 6501716028000/(1x942)

LCM = 6501716028000/942

LCM = 6902034000

Thus, we can understand that the LCM of 125,431,816,471,314 is 6902034000.

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

• LCM of 133, 319, 515, 821, 336
• LCM of 130, 205, 816, 426, 473
• LCM of 116, 609, 583, 552, 959
• LCM of 817, 743, 288, 841, 517
• LCM of 146, 906, 476, 336, 450

1. What is the LCM of 125, 431, 816, 471, 314?

Answer: LCM of 125, 431, 816, 471, 314 is 6902034000.

2. How to calculate the LCM of 125, 431, 816, 471, 314?

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 125, 431, 816, 471, 314.

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}.