Given numbers are 140,570,128,430,170

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

The LCM of 140,570,128,430,170 is 186668160.

Find LCM of 140,570,128,430,170 with Prime Factorization

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

2 x 2 x 5 x 7 x 57 x 32 x 43 x 17 = 186668160

Therefore, the lowest common multiple of 140,570,128,430,170 is 186668160.

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.

140 x 570 x 128 x 430 x 170 = 746672640000

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.

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

128 : 1, 2, 4, 8, 16, 32, 64, 128

430 : 1, 2, 5, 10, 43, 86, 215, 430

170 : 1, 2, 5, 10, 17, 34, 85, 170

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 140,570,128,430,170, is 2.

Now, the common factors can be found like this.

140:2x 2x 5x 7

570:2x 3x 5x 19

128:2x 2x 2x 2x 2x 2x 2

430:2x 5x 43

170:2x 5x 17

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 5x 5 = 2000

Therefore, the value for common factors is 2000.

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 = 746672640000/(2x2000)

LCM = 746672640000/4000

LCM = 186668160

Thus, we can understand that the LCM of 140,570,128,430,170 is 186668160.

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

• LCM of 518, 683, 169, 383, 968
• LCM of 492, 358, 850, 581, 355
• LCM of 588, 653, 778, 625, 824
• LCM of 165, 484, 226, 986, 391
• LCM of 227, 614, 525, 764, 614

1. What is the LCM of 140, 570, 128, 430, 170?

Answer: LCM of 140, 570, 128, 430, 170 is 186668160.

2. How to calculate the LCM of 140, 570, 128, 430, 170?

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 140, 570, 128, 430, 170.

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}.