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LCM of 157, 157, 258, 216, 380

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


Find the LCM of 157, 157, 258, 216, 380 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 157, 157, 258, 216, 380. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 157,157,258,216,380

Given numbers are 157,157,258,216,380

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

The LCM of 157,157,258,216,380 is 138530520.

Find LCM of 157,157,258,216,380 with Prime Factorization


2 157, 157, 258, 216, 380
2 157, 157, 129, 108, 190
3 157, 157, 129, 54, 95
157 157, 157, 43, 18, 95
1, 1, 43, 18, 95

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

2 x 2 x 3 x 157 x 1 x 1 x 43 x 18 x 95 = 138530520

Therefore, the lowest common multiple of 157,157,258,216,380 is 138530520.

LCM Formula to Find Lowest Common Multiple of 157,157,258,216,380

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.

157 x 157 x 258 x 216 x 380 = 521982999360

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.

157 : 1, 157

157 : 1, 157

258 : 1, 2, 3, 6, 43, 86, 129, 258

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,157,258,216,380, is 1.

Now, the common factors can be found like this.

157:157

157:157

258:2x 3x 43

216:2x 2x 2x 3x 3x 3

380:2x 2x 5x 19

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 157 = 3768

Therefore, the value for common factors is 3768.

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 = 521982999360/(1x3768)

LCM = 521982999360/3768

LCM = 138530520

Thus, we can understand that the LCM of 157,157,258,216,380 is 138530520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 157, 157, 258, 216, 380

1. What is the LCM of 157, 157, 258, 216, 380?

Answer: LCM of 157, 157, 258, 216, 380 is 138530520.

2. How to calculate the LCM of 157, 157, 258, 216, 380?

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 157, 157, 258, 216, 380.

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}.