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LCM of 912, 374, 655, 660, 741

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


Find the LCM of 912, 374, 655, 660, 741 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 912, 374, 655, 660, 741. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 912,374,655,660,741

Given numbers are 912,374,655,660,741

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

The LCM of 912,374,655,660,741 is 1452182160.

Find LCM of 912,374,655,660,741 with Prime Factorization


2 912, 374, 655, 660, 741
2 456, 187, 655, 330, 741
3 228, 187, 655, 165, 741
5 76, 187, 655, 55, 247
11 76, 187, 131, 11, 247
19 76, 17, 131, 1, 247
4, 17, 131, 1, 13

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

2 x 2 x 3 x 5 x 11 x 19 x 4 x 17 x 131 x 1 x 13 = 1452182160

Therefore, the lowest common multiple of 912,374,655,660,741 is 1452182160.

LCM Formula to Find Lowest Common Multiple of 912,374,655,660,741

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.

912 x 374 x 655 x 660 x 741 = 109262185718400

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.

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

374 : 1, 2, 11, 17, 22, 34, 187, 374

655 : 1, 5, 131, 655

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

741 : 1, 3, 13, 19, 39, 57, 247, 741

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 912,374,655,660,741, is 1.

Now, the common factors can be found like this.

912:2x 2x 2x 2x 3x 19

374:2x 11x 17

655:5x 131

660:2x 2x 3x 5x 11

741:3x 13x 19

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 3x 3x 5x 11x 19 = 75240

Therefore, the value for common factors is 75240.

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 = 109262185718400/(1x75240)

LCM = 109262185718400/75240

LCM = 1452182160

Thus, we can understand that the LCM of 912,374,655,660,741 is 1452182160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 912, 374, 655, 660, 741

1. What is the LCM of 912, 374, 655, 660, 741?

Answer: LCM of 912, 374, 655, 660, 741 is 1452182160.

2. How to calculate the LCM of 912, 374, 655, 660, 741?

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 912, 374, 655, 660, 741.

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}.