Given numbers are 170,334,209,442,126

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

The LCM of 170,334,209,442,126 is 4859544690.

Find LCM of 170,334,209,442,126 with Prime Factorization

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

2 x 17 x 5 x 167 x 209 x 13 x 63 = 4859544690

Therefore, the lowest common multiple of 170,334,209,442,126 is 4859544690.

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.

170 x 334 x 209 x 442 x 126 = 660898077840

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.

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

334 : 1, 2, 167, 334

209 : 1, 11, 19, 209

442 : 1, 2, 13, 17, 26, 34, 221, 442

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 170,334,209,442,126, is 1.

Now, the common factors can be found like this.

170:2x 5x 17

334:2x 167

209:11x 19

442:2x 13x 17

126:2x 3x 3x 7

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 17 = 136

Therefore, the value for common factors is 136.

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 = 660898077840/(1x136)

LCM = 660898077840/136

LCM = 4859544690

Thus, we can understand that the LCM of 170,334,209,442,126 is 4859544690.

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

• LCM of 771, 910, 765, 978, 525
• LCM of 719, 467, 442, 441, 200
• LCM of 308, 655, 450, 602, 559
• LCM of 244, 957, 654, 326, 982
• LCM of 247, 302, 881, 206, 623

1. What is the LCM of 170, 334, 209, 442, 126?

Answer: LCM of 170, 334, 209, 442, 126 is 4859544690.

2. How to calculate the LCM of 170, 334, 209, 442, 126?

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 170, 334, 209, 442, 126.

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}.