Given numbers are 340,978,849

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

The LCM of 340,978,849 is 47051580.

Find LCM of 340,978,849 with Prime Factorization

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

2 x 3 x 170 x 163 x 283 = 47051580

Therefore, the lowest common multiple of 340,978,849 is 47051580.

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 978 x 849 = 282309480

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

978 : 1, 2, 3, 6, 163, 326, 489, 978

849 : 1, 3, 283, 849

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,978,849, is 1.

Now, the common factors can be found like this.

340:2x 2x 5x 17

978:2x 3x 163

849:3x 283

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 282309480/(1x6)

LCM = 282309480/6

LCM = 47051580

Thus, we can understand that the LCM of 340,978,849 is 47051580.

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

• LCM of 316, 967, 600
• LCM of 829, 654, 535
• LCM of 155, 288, 512
• LCM of 472, 253, 415
• LCM of 297, 673, 454

1. What is the LCM of 340, 978, 849?

Answer: LCM of 340, 978, 849 is 47051580.

2. How to calculate the LCM of 340, 978, 849?

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, 978, 849.

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}.