Given numbers are 624,228,269,136

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

The LCM of 624,228,269,136 is 54217488.

Find LCM of 624,228,269,136 with Prime Factorization

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

2 x 2 x 2 x 3 x 26 x 19 x 269 x 17 = 54217488

Therefore, the lowest common multiple of 624,228,269,136 is 54217488.

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.

624 x 228 x 269 x 136 = 5204878848

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.

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

269 : 1, 269

136 : 1, 2, 4, 8, 17, 34, 68, 136

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,228,269,136, is 1.

Now, the common factors can be found like this.

624:2x 2x 2x 2x 3x 13

228:2x 2x 3x 19

269:269

136:2x 2x 2x 17

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 2x 3 = 96

Therefore, the value for common factors is 96.

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 = 5204878848/(1x96)

LCM = 5204878848/96

LCM = 54217488

Thus, we can understand that the LCM of 624,228,269,136 is 54217488.

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

• LCM of 497, 975, 875, 771
• LCM of 165, 465, 177, 507
• LCM of 596, 362, 405, 193
• LCM of 858, 814, 595, 650
• LCM of 654, 174, 706, 441

1. What is the LCM of 624, 228, 269, 136?

Answer: LCM of 624, 228, 269, 136 is 54217488.

2. How to calculate the LCM of 624, 228, 269, 136?

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 624, 228, 269, 136.

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}.