Given numbers are 160,114,969,135,646

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

The LCM of 160,114,969,135,646 is 1395360.

Find LCM of 160,114,969,135,646 with Prime Factorization

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

2 x 3 x 5 x 17 x 19 x 16 x 1 x 1 x 9 x 1 = 1395360

Therefore, the lowest common multiple of 160,114,969,135,646 is 1395360.

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.

160 x 114 x 969 x 135 x 646 = 1541398377600

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.

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

114 : 1, 2, 3, 6, 19, 38, 57, 114

969 : 1, 3, 17, 19, 51, 57, 323, 969

135 : 1, 3, 5, 9, 15, 27, 45, 135

646 : 1, 2, 17, 19, 34, 38, 323, 646

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 160,114,969,135,646, is 1.

Now, the common factors can be found like this.

160:2x 2x 2x 2x 2x 5

114:2x 3x 19

969:3x 17x 19

135:3x 3x 3x 5

646:2x 17x 19

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 3x 3x 5x 17x 19x 19 = 1104660

Therefore, the value for common factors is 1104660.

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 = 1541398377600/(1x1104660)

LCM = 1541398377600/1104660

LCM = 1395360

Thus, we can understand that the LCM of 160,114,969,135,646 is 1395360.

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

• LCM of 866, 875, 984, 177, 647
• LCM of 590, 574, 997, 477, 308
• LCM of 178, 134, 168, 399, 823
• LCM of 321, 902, 888, 201, 877
• LCM of 369, 797, 361, 786, 372

1. What is the LCM of 160, 114, 969, 135, 646?

Answer: LCM of 160, 114, 969, 135, 646 is 1395360.

2. How to calculate the LCM of 160, 114, 969, 135, 646?

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 160, 114, 969, 135, 646.

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}.