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LCM of 308, 148, 686, 814, 235

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


Find the LCM of 308, 148, 686, 814, 235 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 308, 148, 686, 814, 235. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 308,148,686,814,235

Given numbers are 308,148,686,814,235

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

The LCM of 308,148,686,814,235 is 131224940.

Find LCM of 308,148,686,814,235 with Prime Factorization


2 308, 148, 686, 814, 235
2 154, 74, 343, 407, 235
7 77, 37, 343, 407, 235
11 11, 37, 49, 407, 235
37 1, 37, 49, 37, 235
1, 1, 49, 1, 235

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

2 x 2 x 7 x 11 x 37 x 1 x 1 x 49 x 1 x 235 = 131224940

Therefore, the lowest common multiple of 308,148,686,814,235 is 131224940.

LCM Formula to Find Lowest Common Multiple of 308,148,686,814,235

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.

308 x 148 x 686 x 814 x 235 = 5981757664960

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.

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

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

686 : 1, 2, 7, 14, 49, 98, 343, 686

814 : 1, 2, 11, 22, 37, 74, 407, 814

235 : 1, 5, 47, 235

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,148,686,814,235, is 1.

Now, the common factors can be found like this.

308:2x 2x 7x 11

148:2x 2x 37

686:2x 7x 7x 7

814:2x 11x 37

235:5x 47

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 2x 7x 11x 37 = 45584

Therefore, the value for common factors is 45584.

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 = 5981757664960/(1x45584)

LCM = 5981757664960/45584

LCM = 131224940

Thus, we can understand that the LCM of 308,148,686,814,235 is 131224940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 308, 148, 686, 814, 235

1. What is the LCM of 308, 148, 686, 814, 235?

Answer: LCM of 308, 148, 686, 814, 235 is 131224940.

2. How to calculate the LCM of 308, 148, 686, 814, 235?

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 308, 148, 686, 814, 235.

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}.