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LCM of 736, 460, 183, 774

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


Find the LCM of 736, 460, 183, 774 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 736, 460, 183, 774. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 736,460,183,774

Given numbers are 736,460,183,774

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

The LCM of 736,460,183,774 is 86873760.

Find LCM of 736,460,183,774 with Prime Factorization


2 736, 460, 183, 774
2 368, 230, 183, 387
3 184, 115, 183, 387
23 184, 115, 61, 129
8, 5, 61, 129

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

2 x 2 x 3 x 23 x 8 x 5 x 61 x 129 = 86873760

Therefore, the lowest common multiple of 736,460,183,774 is 86873760.

LCM Formula to Find Lowest Common Multiple of 736,460,183,774

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.

736 x 460 x 183 x 774 = 47954315520

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.

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

183 : 1, 3, 61, 183

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,460,183,774, is 1.

Now, the common factors can be found like this.

736:2x 2x 2x 2x 2x 23

460:2x 2x 5x 23

183:3x 61

774:2x 3x 3x 43

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 23 = 552

Therefore, the value for common factors is 552.

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 = 47954315520/(1x552)

LCM = 47954315520/552

LCM = 86873760

Thus, we can understand that the LCM of 736,460,183,774 is 86873760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 736, 460, 183, 774

1. What is the LCM of 736, 460, 183, 774?

Answer: LCM of 736, 460, 183, 774 is 86873760.

2. How to calculate the LCM of 736, 460, 183, 774?

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 736, 460, 183, 774.

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}.