Given numbers are 340,146,273,301

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

The LCM of 340,146,273,301 is 291361980.

Find LCM of 340,146,273,301 with Prime Factorization

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

2 x 7 x 170 x 73 x 39 x 43 = 291361980

Therefore, the lowest common multiple of 340,146,273,301 is 291361980.

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.

340 x 146 x 273 x 301 = 4079067720

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.

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

146 : 1, 2, 73, 146

273 : 1, 3, 7, 13, 21, 39, 91, 273

301 : 1, 7, 43, 301

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,146,273,301, is 1.

Now, the common factors can be found like this.

340:2x 2x 5x 17

146:2x 73

273:3x 7x 13

301:7x 43

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 4079067720/(1x14)

LCM = 4079067720/14

LCM = 291361980

Thus, we can understand that the LCM of 340,146,273,301 is 291361980.

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

• LCM of 191, 441, 224, 856
• LCM of 401, 946, 710, 441
• LCM of 430, 547, 295, 788
• LCM of 365, 448, 313, 462
• LCM of 312, 144, 952, 540

1. What is the LCM of 340, 146, 273, 301?

Answer: LCM of 340, 146, 273, 301 is 291361980.

2. How to calculate the LCM of 340, 146, 273, 301?

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 340, 146, 273, 301.

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}.