Given numbers are 974,576,397

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

The LCM of 974,576,397 is 111363264.

Find LCM of 974,576,397 with Prime Factorization

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

2 x 487 x 288 x 397 = 111363264

Therefore, the lowest common multiple of 974,576,397 is 111363264.

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.

974 x 576 x 397 = 222726528

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.

974 : 1, 2, 487, 974

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

397 : 1, 397

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,576,397, is 1.

Now, the common factors can be found like this.

974:2x 487

576:2x 2x 2x 2x 2x 2x 3x 3

397:397

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 = 222726528/(1x2)

LCM = 222726528/2

LCM = 111363264

Thus, we can understand that the LCM of 974,576,397 is 111363264.

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

• LCM of 874, 385, 777
• LCM of 224, 705, 311
• LCM of 629, 474, 263
• LCM of 712, 690, 115
• LCM of 925, 172, 393

1. What is the LCM of 974, 576, 397?

Answer: LCM of 974, 576, 397 is 111363264.

2. How to calculate the LCM of 974, 576, 397?

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 974, 576, 397.

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}.