Given numbers are 577,807,576,956,974

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

The LCM of 577,807,576,956,974 is 10405847064384.

Find LCM of 577,807,576,956,974 with Prime Factorization

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

2 x 2 x 3 x 577 x 269 x 48 x 239 x 487 = 10405847064384

Therefore, the lowest common multiple of 577,807,576,956,974 is 10405847064384.

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.

577 x 807 x 576 x 956 x 974 = 249740329545216

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.

577 : 1, 577

807 : 1, 3, 269, 807

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

956 : 1, 2, 4, 239, 478, 956

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,807,576,956,974, is 1.

Now, the common factors can be found like this.

577:577

807:3x 269

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

956:2x 2x 239

974:2x 487

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 249740329545216/(1x24)

LCM = 249740329545216/24

LCM = 10405847064384

Thus, we can understand that the LCM of 577,807,576,956,974 is 10405847064384.

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

• LCM of 196, 818, 282, 344, 985
• LCM of 891, 900, 442, 870, 560
• LCM of 244, 658, 291, 473, 113
• LCM of 224, 476, 362, 764, 253
• LCM of 812, 619, 332, 410, 173

1. What is the LCM of 577, 807, 576, 956, 974?

Answer: LCM of 577, 807, 576, 956, 974 is 10405847064384.

2. How to calculate the LCM of 577, 807, 576, 956, 974?

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 577, 807, 576, 956, 974.

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}.