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LCM of 732, 410, 888, 946, 660

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


Find the LCM of 732, 410, 888, 946, 660 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 732, 410, 888, 946, 660. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 732,410,888,946,660

Given numbers are 732,410,888,946,660

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

The LCM of 732,410,888,946,660 is 5252400120.

Find LCM of 732,410,888,946,660 with Prime Factorization


2 732, 410, 888, 946, 660
2 366, 205, 444, 473, 330
3 183, 205, 222, 473, 165
5 61, 205, 74, 473, 55
11 61, 41, 74, 473, 11
61, 41, 74, 43, 1

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

2 x 2 x 3 x 5 x 11 x 61 x 41 x 74 x 43 x 1 = 5252400120

Therefore, the lowest common multiple of 732,410,888,946,660 is 5252400120.

LCM Formula to Find Lowest Common Multiple of 732,410,888,946,660

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.

732 x 410 x 888 x 946 x 660 = 166396035801600

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.

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

410 : 1, 2, 5, 10, 41, 82, 205, 410

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

946 : 1, 2, 11, 22, 43, 86, 473, 946

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,410,888,946,660, is 2.

Now, the common factors can be found like this.

732:2x 2x 3x 61

410:2x 5x 41

888:2x 2x 2x 3x 37

946:2x 11x 43

660:2x 2x 3x 5x 11

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 3x 3x 5x 11 = 15840

Therefore, the value for common factors is 15840.

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 = 166396035801600/(2x15840)

LCM = 166396035801600/31680

LCM = 5252400120

Thus, we can understand that the LCM of 732,410,888,946,660 is 5252400120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 732, 410, 888, 946, 660

1. What is the LCM of 732, 410, 888, 946, 660?

Answer: LCM of 732, 410, 888, 946, 660 is 5252400120.

2. How to calculate the LCM of 732, 410, 888, 946, 660?

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 732, 410, 888, 946, 660.

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}.