Given numbers are 971,574,400

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

The LCM of 971,574,400 is 111470800.

Find LCM of 971,574,400 with Prime Factorization

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

2 x 971 x 287 x 200 = 111470800

Therefore, the lowest common multiple of 971,574,400 is 111470800.

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.

971 x 574 x 400 = 222941600

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.

971 : 1, 971

574 : 1, 2, 7, 14, 41, 82, 287, 574

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,574,400, is 1.

Now, the common factors can be found like this.

971:971

574:2x 7x 41

400:2x 2x 2x 2x 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 = 222941600/(1x2)

LCM = 222941600/2

LCM = 111470800

Thus, we can understand that the LCM of 971,574,400 is 111470800.

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

• LCM of 359, 872, 435
• LCM of 678, 617, 796
• LCM of 753, 590, 320
• LCM of 426, 214, 238
• LCM of 464, 359, 540

1. What is the LCM of 971, 574, 400?

Answer: LCM of 971, 574, 400 is 111470800.

2. How to calculate the LCM of 971, 574, 400?

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 971, 574, 400.

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}.