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LCM of 167, 951, 533, 518, 380

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


Find the LCM of 167, 951, 533, 518, 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 167, 951, 533, 518, 380. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 167,951,533,518,380

Given numbers are 167,951,533,518,380

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

The LCM of 167,951,533,518,380 is 8331199951620.

Find LCM of 167,951,533,518,380 with Prime Factorization


2 167, 951, 533, 518, 380
167, 951, 533, 259, 190

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

2 x 167 x 951 x 533 x 259 x 190 = 8331199951620

Therefore, the lowest common multiple of 167,951,533,518,380 is 8331199951620.

LCM Formula to Find Lowest Common Multiple of 167,951,533,518,380

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.

167 x 951 x 533 x 518 x 380 = 16662399903240

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.

167 : 1, 167

951 : 1, 3, 317, 951

533 : 1, 13, 41, 533

518 : 1, 2, 7, 14, 37, 74, 259, 518

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 167,951,533,518,380, is 1.

Now, the common factors can be found like this.

167:167

951:3x 317

533:13x 41

518:2x 7x 37

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 16662399903240/(1x2)

LCM = 16662399903240/2

LCM = 8331199951620

Thus, we can understand that the LCM of 167,951,533,518,380 is 8331199951620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 167, 951, 533, 518, 380

1. What is the LCM of 167, 951, 533, 518, 380?

Answer: LCM of 167, 951, 533, 518, 380 is 8331199951620.

2. How to calculate the LCM of 167, 951, 533, 518, 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 167, 951, 533, 518, 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}.