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LCM of 132, 109, 616, 544

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


Find the LCM of 132, 109, 616, 544 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, 109, 616, 544. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 132,109,616,544

Given numbers are 132,109,616,544

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

The LCM of 132,109,616,544 is 13697376.

Find LCM of 132,109,616,544 with Prime Factorization


2 132, 109, 616, 544
2 66, 109, 308, 272
2 33, 109, 154, 136
11 33, 109, 77, 68
3, 109, 7, 68

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

2 x 2 x 2 x 11 x 3 x 109 x 7 x 68 = 13697376

Therefore, the lowest common multiple of 132,109,616,544 is 13697376.

LCM Formula to Find Lowest Common Multiple of 132,109,616,544

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 109 x 616 x 544 = 4821476352

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

109 : 1, 109

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 132,109,616,544, is 1.

Now, the common factors can be found like this.

132:2x 2x 3x 11

109:109

616:2x 2x 2x 7x 11

544:2x 2x 2x 2x 2x 17

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 2x 11 = 352

Therefore, the value for common factors is 352.

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 = 4821476352/(1x352)

LCM = 4821476352/352

LCM = 13697376

Thus, we can understand that the LCM of 132,109,616,544 is 13697376.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 132, 109, 616, 544

1. What is the LCM of 132, 109, 616, 544?

Answer: LCM of 132, 109, 616, 544 is 13697376.

2. How to calculate the LCM of 132, 109, 616, 544?

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, 109, 616, 544.

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}.