Given numbers are 680,450,349,480

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

The LCM of 680,450,349,480 is 42717600.

Find LCM of 680,450,349,480 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 17 x 15 x 349 x 4 = 42717600

Therefore, the lowest common multiple of 680,450,349,480 is 42717600.

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.

680 x 450 x 349 x 480 = 51261120000

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.

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

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

349 : 1, 349

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,450,349,480, is 1.

Now, the common factors can be found like this.

680:2x 2x 2x 5x 17

450:2x 3x 3x 5x 5

349:349

480:2x 2x 2x 2x 2x 3x 5

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 5x 5 = 1200

Therefore, the value for common factors is 1200.

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 = 51261120000/(1x1200)

LCM = 51261120000/1200

LCM = 42717600

Thus, we can understand that the LCM of 680,450,349,480 is 42717600.

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

• LCM of 672, 154, 248, 678
• LCM of 265, 497, 260, 591
• LCM of 233, 525, 698, 482
• LCM of 115, 684, 643, 761
• LCM of 651, 423, 492, 514

1. What is the LCM of 680, 450, 349, 480?

Answer: LCM of 680, 450, 349, 480 is 42717600.

2. How to calculate the LCM of 680, 450, 349, 480?

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 680, 450, 349, 480.

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}.