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LCM of 216, 732, 132, 121, 759

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


Find the LCM of 216, 732, 132, 121, 759 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 216, 732, 132, 121, 759. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 216,732,132,121,759

Given numbers are 216,732,132,121,759

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

The LCM of 216,732,132,121,759 is 36668808.

Find LCM of 216,732,132,121,759 with Prime Factorization


2 216, 732, 132, 121, 759
2 108, 366, 66, 121, 759
3 54, 183, 33, 121, 759
11 18, 61, 11, 121, 253
18, 61, 1, 11, 23

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

2 x 2 x 3 x 11 x 18 x 61 x 1 x 11 x 23 = 36668808

Therefore, the lowest common multiple of 216,732,132,121,759 is 36668808.

LCM Formula to Find Lowest Common Multiple of 216,732,132,121,759

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.

216 x 732 x 132 x 121 x 759 = 1916751931776

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.

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

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

121 : 1, 11, 121

759 : 1, 3, 11, 23, 33, 69, 253, 759

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,732,132,121,759, is 1.

Now, the common factors can be found like this.

216:2x 2x 2x 3x 3x 3

732:2x 2x 3x 61

132:2x 2x 3x 11

121:11x 11

759:3x 11x 23

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 3x 3x 3x 11x 11 = 52272

Therefore, the value for common factors is 52272.

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 = 1916751931776/(1x52272)

LCM = 1916751931776/52272

LCM = 36668808

Thus, we can understand that the LCM of 216,732,132,121,759 is 36668808.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 216, 732, 132, 121, 759

1. What is the LCM of 216, 732, 132, 121, 759?

Answer: LCM of 216, 732, 132, 121, 759 is 36668808.

2. How to calculate the LCM of 216, 732, 132, 121, 759?

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 216, 732, 132, 121, 759.

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}.