Given numbers are 340,152,204,452

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

The LCM of 340,152,204,452 is 4379880.

Find LCM of 340,152,204,452 with Prime Factorization

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

2 x 2 x 17 x 5 x 38 x 3 x 113 = 4379880

Therefore, the lowest common multiple of 340,152,204,452 is 4379880.

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 152 x 204 x 452 = 4765309440

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

152 : 1, 2, 4, 8, 19, 38, 76, 152

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

452 : 1, 2, 4, 113, 226, 452

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,152,204,452, is 4.

Now, the common factors can be found like this.

340:2x 2x 5x 17

152:2x 2x 2x 19

204:2x 2x 3x 17

452:2x 2x 113

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 17 = 272

Therefore, the value for common factors is 272.

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 = 4765309440/(4x272)

LCM = 4765309440/1088

LCM = 4379880

Thus, we can understand that the LCM of 340,152,204,452 is 4379880.

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

• LCM of 758, 718, 437, 983
• LCM of 376, 491, 481, 916
• LCM of 145, 404, 956, 755
• LCM of 800, 157, 389, 546
• LCM of 104, 226, 962, 338

1. What is the LCM of 340, 152, 204, 452?

Answer: LCM of 340, 152, 204, 452 is 4379880.

2. How to calculate the LCM of 340, 152, 204, 452?

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, 152, 204, 452.

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}.