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LCM of 318, 157, 276, 334

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


Find the LCM of 318, 157, 276, 334 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, 157, 276, 334. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 318,157,276,334

Given numbers are 318,157,276,334

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

The LCM of 318,157,276,334 is 383531532.

Find LCM of 318,157,276,334 with Prime Factorization


2 318, 157, 276, 334
3 159, 157, 138, 167
53, 157, 46, 167

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

2 x 3 x 53 x 157 x 46 x 167 = 383531532

Therefore, the lowest common multiple of 318,157,276,334 is 383531532.

LCM Formula to Find Lowest Common Multiple of 318,157,276,334

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 157 x 276 x 334 = 4602378384

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

157 : 1, 157

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

334 : 1, 2, 167, 334

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,157,276,334, is 1.

Now, the common factors can be found like this.

318:2x 3x 53

157:157

276:2x 2x 3x 23

334:2x 167

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 3 = 12

Therefore, the value for common factors is 12.

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 = 4602378384/(1x12)

LCM = 4602378384/12

LCM = 383531532

Thus, we can understand that the LCM of 318,157,276,334 is 383531532.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 318, 157, 276, 334

1. What is the LCM of 318, 157, 276, 334?

Answer: LCM of 318, 157, 276, 334 is 383531532.

2. How to calculate the LCM of 318, 157, 276, 334?

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, 157, 276, 334.

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}.