Given numbers are 600,574,737,302,513

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

The LCM of 600,574,737,302,513 is 3276979259400.

Find LCM of 600,574,737,302,513 with Prime Factorization

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

2 x 3 x 100 x 287 x 737 x 151 x 171 = 3276979259400

Therefore, the lowest common multiple of 600,574,737,302,513 is 3276979259400.

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.

600 x 574 x 737 x 302 x 513 = 39323751112800

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.

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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

737 : 1, 11, 67, 737

302 : 1, 2, 151, 302

513 : 1, 3, 9, 19, 27, 57, 171, 513

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 600,574,737,302,513, is 1.

Now, the common factors can be found like this.

600:2x 2x 2x 3x 5x 5

574:2x 7x 41

737:11x 67

302:2x 151

513:3x 3x 3x 19

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 3 = 12

Therefore, the value for common factors is 12.

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 = 39323751112800/(1x12)

LCM = 39323751112800/12

LCM = 3276979259400

Thus, we can understand that the LCM of 600,574,737,302,513 is 3276979259400.

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

• LCM of 867, 902, 101, 525, 730
• LCM of 143, 613, 789, 754, 408
• LCM of 384, 402, 985, 355, 156
• LCM of 992, 441, 983, 396, 258
• LCM of 146, 987, 580, 506, 809

1. What is the LCM of 600, 574, 737, 302, 513?

Answer: LCM of 600, 574, 737, 302, 513 is 3276979259400.

2. How to calculate the LCM of 600, 574, 737, 302, 513?

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 600, 574, 737, 302, 513.

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}.