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LCM of 912, 584, 380, 742

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


Find the LCM of 912, 584, 380, 742 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, 584, 380, 742. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 912,584,380,742

Given numbers are 912,584,380,742

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

The LCM of 912,584,380,742 is 123498480.

Find LCM of 912,584,380,742 with Prime Factorization


2 912, 584, 380, 742
2 456, 292, 190, 371
2 228, 146, 95, 371
19 114, 73, 95, 371
6, 73, 5, 371

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

2 x 2 x 2 x 19 x 6 x 73 x 5 x 371 = 123498480

Therefore, the lowest common multiple of 912,584,380,742 is 123498480.

LCM Formula to Find Lowest Common Multiple of 912,584,380,742

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 584 x 380 x 742 = 150174151680

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

584 : 1, 2, 4, 8, 73, 146, 292, 584

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

742 : 1, 2, 7, 14, 53, 106, 371, 742

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 912,584,380,742, is 2.

Now, the common factors can be found like this.

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

584:2x 2x 2x 73

380:2x 2x 5x 19

742:2x 7x 53

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 19 = 608

Therefore, the value for common factors is 608.

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 = 150174151680/(2x608)

LCM = 150174151680/1216

LCM = 123498480

Thus, we can understand that the LCM of 912,584,380,742 is 123498480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 912, 584, 380, 742

1. What is the LCM of 912, 584, 380, 742?

Answer: LCM of 912, 584, 380, 742 is 123498480.

2. How to calculate the LCM of 912, 584, 380, 742?

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, 584, 380, 742.

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}.