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LCM of 807, 190, 416, 148, 181

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


Find the LCM of 807, 190, 416, 148, 181 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 807, 190, 416, 148, 181. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 807,190,416,148,181

Given numbers are 807,190,416,148,181

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

The LCM of 807,190,416,148,181 is 213585010080.

Find LCM of 807,190,416,148,181 with Prime Factorization


2 807, 190, 416, 148, 181
2 807, 95, 208, 74, 181
807, 95, 104, 37, 181

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

2 x 2 x 807 x 95 x 104 x 37 x 181 = 213585010080

Therefore, the lowest common multiple of 807,190,416,148,181 is 213585010080.

LCM Formula to Find Lowest Common Multiple of 807,190,416,148,181

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.

807 x 190 x 416 x 148 x 181 = 1708680080640

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.

807 : 1, 3, 269, 807

190 : 1, 2, 5, 10, 19, 38, 95, 190

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

148 : 1, 2, 4, 37, 74, 148

181 : 1, 181

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,190,416,148,181, is 1.

Now, the common factors can be found like this.

807:3x 269

190:2x 5x 19

416:2x 2x 2x 2x 2x 13

148:2x 2x 37

181:181

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 2 = 8

Therefore, the value for common factors is 8.

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 = 1708680080640/(1x8)

LCM = 1708680080640/8

LCM = 213585010080

Thus, we can understand that the LCM of 807,190,416,148,181 is 213585010080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 807, 190, 416, 148, 181

1. What is the LCM of 807, 190, 416, 148, 181?

Answer: LCM of 807, 190, 416, 148, 181 is 213585010080.

2. How to calculate the LCM of 807, 190, 416, 148, 181?

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 807, 190, 416, 148, 181.

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}.