Given numbers are 345,706,910,750

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

The LCM of 345,706,910,750 is 554121750.

Find LCM of 345,706,910,750 with Prime Factorization

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

2 x 3 x 5 x 23 x 353 x 91 x 25 = 554121750

Therefore, the lowest common multiple of 345,706,910,750 is 554121750.

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 706 x 910 x 750 = 166236525000

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

706 : 1, 2, 353, 706

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,706,910,750, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

706:2x 353

910:2x 5x 7x 13

750:2x 3x 5x 5x 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 3x 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 166236525000/(1x300)

LCM = 166236525000/300

LCM = 554121750

Thus, we can understand that the LCM of 345,706,910,750 is 554121750.

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

• LCM of 727, 616, 762, 442
• LCM of 364, 465, 475, 780
• LCM of 715, 354, 151, 567
• LCM of 784, 448, 744, 254
• LCM of 169, 500, 456, 925

1. What is the LCM of 345, 706, 910, 750?

Answer: LCM of 345, 706, 910, 750 is 554121750.

2. How to calculate the LCM of 345, 706, 910, 750?

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, 706, 910, 750.

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}.