Given numbers are 706,286,300

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

The LCM of 706,286,300 is 15143700.

Find LCM of 706,286,300 with Prime Factorization

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

2 x 353 x 143 x 150 = 15143700

Therefore, the lowest common multiple of 706,286,300 is 15143700.

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.

706 x 286 x 300 = 60574800

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.

706 : 1, 2, 353, 706

286 : 1, 2, 11, 13, 22, 26, 143, 286

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,286,300, is 2.

Now, the common factors can be found like this.

706:2x 353

286:2x 11x 13

300:2x 2x 3x 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.

2 = 2

Therefore, the value for common factors is 2.

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 = 60574800/(2x2)

LCM = 60574800/4

LCM = 15143700

Thus, we can understand that the LCM of 706,286,300 is 15143700.

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

• LCM of 830, 924, 941
• LCM of 974, 529, 594
• LCM of 740, 301, 443
• LCM of 718, 554, 599
• LCM of 130, 109, 859

1. What is the LCM of 706, 286, 300?

Answer: LCM of 706, 286, 300 is 15143700.

2. How to calculate the LCM of 706, 286, 300?

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 706, 286, 300.

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}.