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LCM of 132, 649, 811, 341

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


Find the LCM of 132, 649, 811, 341 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 132, 649, 811, 341. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 132,649,811,341

Given numbers are 132,649,811,341

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

The LCM of 132,649,811,341 is 195798108.

Find LCM of 132,649,811,341 with Prime Factorization


11 132, 649, 811, 341
12, 59, 811, 31

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

11 x 12 x 59 x 811 x 31 = 195798108

Therefore, the lowest common multiple of 132,649,811,341 is 195798108.

LCM Formula to Find Lowest Common Multiple of 132,649,811,341

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.

132 x 649 x 811 x 341 = 23691571068

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.

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

649 : 1, 11, 59, 649

811 : 1, 811

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 132,649,811,341, is 1.

Now, the common factors can be found like this.

132:2x 2x 3x 11

649:11x 59

811:811

341:11x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 23691571068/(1x121)

LCM = 23691571068/121

LCM = 195798108

Thus, we can understand that the LCM of 132,649,811,341 is 195798108.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 132, 649, 811, 341

1. What is the LCM of 132, 649, 811, 341?

Answer: LCM of 132, 649, 811, 341 is 195798108.

2. How to calculate the LCM of 132, 649, 811, 341?

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 132, 649, 811, 341.

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}.