Given numbers are 238,153,107

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

The LCM of 238,153,107 is 229194.

Find LCM of 238,153,107 with Prime Factorization

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

17 x 14 x 9 x 107 = 229194

Therefore, the lowest common multiple of 238,153,107 is 229194.

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.

238 x 153 x 107 = 3896298

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.

238 : 1, 2, 7, 14, 17, 34, 119, 238

153 : 1, 3, 9, 17, 51, 153

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,153,107, is 1.

Now, the common factors can be found like this.

238:2x 7x 17

153:3x 3x 17

107:107

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

17 = 17

Therefore, the value for common factors is 17.

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 = 3896298/(1x17)

LCM = 3896298/17

LCM = 229194

Thus, we can understand that the LCM of 238,153,107 is 229194.

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

• LCM of 349, 290, 931
• LCM of 382, 871, 971
• LCM of 443, 609, 207
• LCM of 452, 261, 911
• LCM of 892, 539, 729

1. What is the LCM of 238, 153, 107?

Answer: LCM of 238, 153, 107 is 229194.

2. How to calculate the LCM of 238, 153, 107?

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 238, 153, 107.

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}.