Given numbers are 577,418,742,548

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

The LCM of 577,418,742,548 is 24517521644.

Find LCM of 577,418,742,548 with Prime Factorization

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

2 x 577 x 209 x 371 x 274 = 24517521644

Therefore, the lowest common multiple of 577,418,742,548 is 24517521644.

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 418 x 742 x 548 = 98070086576

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

418 : 1, 2, 11, 19, 22, 38, 209, 418

742 : 1, 2, 7, 14, 53, 106, 371, 742

548 : 1, 2, 4, 137, 274, 548

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,418,742,548, is 1.

Now, the common factors can be found like this.

577:577

418:2x 11x 19

742:2x 7x 53

548:2x 2x 137

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 98070086576/(1x4)

LCM = 98070086576/4

LCM = 24517521644

Thus, we can understand that the LCM of 577,418,742,548 is 24517521644.

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

• LCM of 402, 243, 747, 295
• LCM of 917, 316, 882, 766
• LCM of 502, 921, 818, 489
• LCM of 704, 834, 987, 389
• LCM of 939, 862, 404, 489

1. What is the LCM of 577, 418, 742, 548?

Answer: LCM of 577, 418, 742, 548 is 24517521644.

2. How to calculate the LCM of 577, 418, 742, 548?

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, 418, 742, 548.

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}.