Given numbers are 542,434,568,600

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

The LCM of 542,434,568,600 is 2505178200.

Find LCM of 542,434,568,600 with Prime Factorization

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

2 x 2 x 2 x 271 x 217 x 71 x 75 = 2505178200

Therefore, the lowest common multiple of 542,434,568,600 is 2505178200.

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.

542 x 434 x 568 x 600 = 80165702400

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.

542 : 1, 2, 271, 542

434 : 1, 2, 7, 14, 31, 62, 217, 434

568 : 1, 2, 4, 8, 71, 142, 284, 568

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,434,568,600, is 2.

Now, the common factors can be found like this.

542:2x 271

434:2x 7x 31

568:2x 2x 2x 71

600:2x 2x 2x 3x 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.

2x 2x 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 80165702400/(2x16)

LCM = 80165702400/32

LCM = 2505178200

Thus, we can understand that the LCM of 542,434,568,600 is 2505178200.

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

• LCM of 473, 237, 634, 112
• LCM of 231, 175, 724, 224
• LCM of 927, 998, 488, 689
• LCM of 113, 213, 709, 933
• LCM of 138, 840, 705, 997

1. What is the LCM of 542, 434, 568, 600?

Answer: LCM of 542, 434, 568, 600 is 2505178200.

2. How to calculate the LCM of 542, 434, 568, 600?

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 542, 434, 568, 600.

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}.