Given numbers are 578,800,971

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

The LCM of 578,800,971 is 224495200.

Find LCM of 578,800,971 with Prime Factorization

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

2 x 289 x 400 x 971 = 224495200

Therefore, the lowest common multiple of 578,800,971 is 224495200.

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.

578 x 800 x 971 = 448990400

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.

578 : 1, 2, 17, 34, 289, 578

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

971 : 1, 971

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,800,971, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

800:2x 2x 2x 2x 2x 5x 5

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 = 448990400/(1x2)

LCM = 448990400/2

LCM = 224495200

Thus, we can understand that the LCM of 578,800,971 is 224495200.

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

• LCM of 189, 461, 682
• LCM of 591, 639, 177
• LCM of 228, 331, 756
• LCM of 502, 865, 322
• LCM of 567, 251, 140

1. What is the LCM of 578, 800, 971?

Answer: LCM of 578, 800, 971 is 224495200.

2. How to calculate the LCM of 578, 800, 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 578, 800, 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}.