Given numbers are 428,936,171,252

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

The LCM of 428,936,171,252 is 13320216.

Find LCM of 428,936,171,252 with Prime Factorization

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

2 x 2 x 3 x 3 x 107 x 26 x 19 x 7 = 13320216

Therefore, the lowest common multiple of 428,936,171,252 is 13320216.

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.

428 x 936 x 171 x 252 = 17262999936

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.

428 : 1, 2, 4, 107, 214, 428

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

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

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,936,171,252, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

936:2x 2x 2x 3x 3x 13

171:3x 3x 19

252:2x 2x 3x 3x 7

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 2x 3x 3x 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 17262999936/(1x1296)

LCM = 17262999936/1296

LCM = 13320216

Thus, we can understand that the LCM of 428,936,171,252 is 13320216.

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

• LCM of 449, 831, 247, 804
• LCM of 547, 905, 455, 863
• LCM of 684, 771, 834, 874
• LCM of 603, 643, 821, 144
• LCM of 677, 505, 316, 689

1. What is the LCM of 428, 936, 171, 252?

Answer: LCM of 428, 936, 171, 252 is 13320216.

2. How to calculate the LCM of 428, 936, 171, 252?

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 428, 936, 171, 252.

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}.