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LCM of 318, 235, 423, 272

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 318, 235, 423, 272 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 318, 235, 423, 272. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 318,235,423,272

Given numbers are 318,235,423,272

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

The LCM of 318,235,423,272 is 30489840.

Find LCM of 318,235,423,272 with Prime Factorization


2 318, 235, 423, 272
3 159, 235, 423, 136
47 53, 235, 141, 136
53, 5, 3, 136

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

2 x 3 x 47 x 53 x 5 x 3 x 136 = 30489840

Therefore, the lowest common multiple of 318,235,423,272 is 30489840.

LCM Formula to Find Lowest Common Multiple of 318,235,423,272

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.

318 x 235 x 423 x 272 = 8598134880

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.

318 : 1, 2, 3, 6, 53, 106, 159, 318

235 : 1, 5, 47, 235

423 : 1, 3, 9, 47, 141, 423

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,235,423,272, is 1.

Now, the common factors can be found like this.

318:2x 3x 53

235:5x 47

423:3x 3x 47

272:2x 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 3x 47 = 282

Therefore, the value for common factors is 282.

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 = 8598134880/(1x282)

LCM = 8598134880/282

LCM = 30489840

Thus, we can understand that the LCM of 318,235,423,272 is 30489840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 318, 235, 423, 272

1. What is the LCM of 318, 235, 423, 272?

Answer: LCM of 318, 235, 423, 272 is 30489840.

2. How to calculate the LCM of 318, 235, 423, 272?

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 318, 235, 423, 272.

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}.