Given numbers are 953,339,600,894,342

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

The LCM of 953,339,600,894,342 is 548761606200.

Find LCM of 953,339,600,894,342 with Prime Factorization

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

2 x 3 x 953 x 113 x 100 x 149 x 57 = 548761606200

Therefore, the lowest common multiple of 953,339,600,894,342 is 548761606200.

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.

953 x 339 x 600 x 894 x 342 = 59266253469600

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.

953 : 1, 953

339 : 1, 3, 113, 339

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

894 : 1, 2, 3, 6, 149, 298, 447, 894

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 953,339,600,894,342, is 1.

Now, the common factors can be found like this.

953:953

339:3x 113

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

894:2x 3x 149

342:2x 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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 59266253469600/(1x108)

LCM = 59266253469600/108

LCM = 548761606200

Thus, we can understand that the LCM of 953,339,600,894,342 is 548761606200.

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

• LCM of 805, 394, 487, 362, 101
• LCM of 604, 557, 641, 464, 117
• LCM of 585, 886, 389, 751, 143
• LCM of 254, 872, 697, 937, 205
• LCM of 962, 809, 328, 992, 678

1. What is the LCM of 953, 339, 600, 894, 342?

Answer: LCM of 953, 339, 600, 894, 342 is 548761606200.

2. How to calculate the LCM of 953, 339, 600, 894, 342?

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 953, 339, 600, 894, 342.

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}.