Given numbers are 345,340,744,450,894

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

The LCM of 345,340,744,450,894 is 3250852200.

Find LCM of 345,340,744,450,894 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 17 x 62 x 15 x 149 = 3250852200

Therefore, the lowest common multiple of 345,340,744,450,894 is 3250852200.

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.

345 x 340 x 744 x 450 x 894 = 35109203760000

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

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

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

894 : 1, 2, 3, 6, 149, 298, 447, 894

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,340,744,450,894, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

340:2x 2x 5x 17

744:2x 2x 2x 3x 31

450:2x 3x 3x 5x 5

894:2x 3x 149

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 3x 3x 5x 5 = 10800

Therefore, the value for common factors is 10800.

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 = 35109203760000/(1x10800)

LCM = 35109203760000/10800

LCM = 3250852200

Thus, we can understand that the LCM of 345,340,744,450,894 is 3250852200.

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

• LCM of 825, 992, 309, 781, 317
• LCM of 660, 909, 199, 928, 513
• LCM of 101, 628, 711, 806, 323
• LCM of 713, 483, 936, 303, 232
• LCM of 878, 213, 587, 270, 284

1. What is the LCM of 345, 340, 744, 450, 894?

Answer: LCM of 345, 340, 744, 450, 894 is 3250852200.

2. How to calculate the LCM of 345, 340, 744, 450, 894?

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 345, 340, 744, 450, 894.

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}.