Given numbers are 300,706,971

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

The LCM of 300,706,971 is 102828900.

Find LCM of 300,706,971 with Prime Factorization

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

2 x 150 x 353 x 971 = 102828900

Therefore, the lowest common multiple of 300,706,971 is 102828900.

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.

300 x 706 x 971 = 205657800

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.

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

706 : 1, 2, 353, 706

971 : 1, 971

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,706,971, is 1.

Now, the common factors can be found like this.

300:2x 2x 3x 5x 5

706:2x 353

971:971

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 = 205657800/(1x2)

LCM = 205657800/2

LCM = 102828900

Thus, we can understand that the LCM of 300,706,971 is 102828900.

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

• LCM of 900, 749, 140
• LCM of 417, 644, 825
• LCM of 199, 386, 665
• LCM of 750, 969, 368
• LCM of 672, 381, 687

1. What is the LCM of 300, 706, 971?

Answer: LCM of 300, 706, 971 is 102828900.

2. How to calculate the LCM of 300, 706, 971?

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 300, 706, 971.

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}.