Given numbers are 234,527,142,106,204

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

The LCM of 234,527,142,106,204 is 928091268.

Find LCM of 234,527,142,106,204 with Prime Factorization

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

2 x 3 x 17 x 39 x 31 x 71 x 53 x 2 = 928091268

Therefore, the lowest common multiple of 234,527,142,106,204 is 928091268.

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.

234 x 527 x 142 x 106 x 204 = 378661237344

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

527 : 1, 17, 31, 527

142 : 1, 2, 71, 142

106 : 1, 2, 53, 106

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,527,142,106,204, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

527:17x 31

142:2x 71

106:2x 53

204:2x 2x 3x 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 3x 17 = 408

Therefore, the value for common factors is 408.

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 = 378661237344/(1x408)

LCM = 378661237344/408

LCM = 928091268

Thus, we can understand that the LCM of 234,527,142,106,204 is 928091268.

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

• LCM of 700, 205, 645, 435, 988
• LCM of 298, 195, 567, 502, 649
• LCM of 272, 948, 615, 477, 933
• LCM of 183, 503, 415, 714, 131
• LCM of 947, 669, 278, 384, 798

1. What is the LCM of 234, 527, 142, 106, 204?

Answer: LCM of 234, 527, 142, 106, 204 is 928091268.

2. How to calculate the LCM of 234, 527, 142, 106, 204?

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 234, 527, 142, 106, 204.

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}.