Given numbers are 160,378,114,334,348

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

The LCM of 160,378,114,334,348 is 2782594080.

Find LCM of 160,378,114,334,348 with Prime Factorization

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

2 x 2 x 3 x 40 x 63 x 19 x 167 x 29 = 2782594080

Therefore, the lowest common multiple of 160,378,114,334,348 is 2782594080.

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 378 x 114 x 334 x 348 = 801387095040

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

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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

334 : 1, 2, 167, 334

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 160,378,114,334,348, is 2.

Now, the common factors can be found like this.

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

378:2x 3x 3x 3x 7

114:2x 3x 19

334:2x 167

348:2x 2x 3x 29

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 801387095040/(2x144)

LCM = 801387095040/288

LCM = 2782594080

Thus, we can understand that the LCM of 160,378,114,334,348 is 2782594080.

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

• LCM of 391, 958, 931, 721, 870
• LCM of 230, 675, 617, 852, 988
• LCM of 978, 741, 553, 807, 894
• LCM of 980, 538, 720, 272, 318
• LCM of 294, 646, 429, 167, 749

1. What is the LCM of 160, 378, 114, 334, 348?

Answer: LCM of 160, 378, 114, 334, 348 is 2782594080.

2. How to calculate the LCM of 160, 378, 114, 334, 348?

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, 378, 114, 334, 348.

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}.