Given numbers are 230,138,253,164

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

The LCM of 230,138,253,164 is 622380.

Find LCM of 230,138,253,164 with Prime Factorization

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

2 x 23 x 5 x 3 x 11 x 82 = 622380

Therefore, the lowest common multiple of 230,138,253,164 is 622380.

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.

230 x 138 x 253 x 164 = 1316956080

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

138 : 1, 2, 3, 6, 23, 46, 69, 138

253 : 1, 11, 23, 253

164 : 1, 2, 4, 41, 82, 164

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,138,253,164, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

138:2x 3x 23

253:11x 23

164:2x 2x 41

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 23x 23 = 2116

Therefore, the value for common factors is 2116.

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 = 1316956080/(1x2116)

LCM = 1316956080/2116

LCM = 622380

Thus, we can understand that the LCM of 230,138,253,164 is 622380.

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

• LCM of 192, 723, 364, 586
• LCM of 183, 769, 977, 301
• LCM of 498, 916, 451, 498
• LCM of 908, 946, 282, 416
• LCM of 524, 535, 611, 595

1. What is the LCM of 230, 138, 253, 164?

Answer: LCM of 230, 138, 253, 164 is 622380.

2. How to calculate the LCM of 230, 138, 253, 164?

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 230, 138, 253, 164.

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}.