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LCM of 736, 448, 261, 249

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


Find the LCM of 736, 448, 261, 249 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, 448, 261, 249. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 736,448,261,249

Given numbers are 736,448,261,249

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

The LCM of 736,448,261,249 is 223215552.

Find LCM of 736,448,261,249 with Prime Factorization


2 736, 448, 261, 249
2 368, 224, 261, 249
2 184, 112, 261, 249
2 92, 56, 261, 249
2 46, 28, 261, 249
3 23, 14, 261, 249
23, 14, 87, 83

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

2 x 2 x 2 x 2 x 2 x 3 x 23 x 14 x 87 x 83 = 223215552

Therefore, the lowest common multiple of 736,448,261,249 is 223215552.

LCM Formula to Find Lowest Common Multiple of 736,448,261,249

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 448 x 261 x 249 = 21428692992

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

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

261 : 1, 3, 9, 29, 87, 261

249 : 1, 3, 83, 249

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,448,261,249, is 1.

Now, the common factors can be found like this.

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

448:2x 2x 2x 2x 2x 2x 7

261:3x 3x 29

249:3x 83

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 3 = 96

Therefore, the value for common factors is 96.

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 = 21428692992/(1x96)

LCM = 21428692992/96

LCM = 223215552

Thus, we can understand that the LCM of 736,448,261,249 is 223215552.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 736, 448, 261, 249

1. What is the LCM of 736, 448, 261, 249?

Answer: LCM of 736, 448, 261, 249 is 223215552.

2. How to calculate the LCM of 736, 448, 261, 249?

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, 448, 261, 249.

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}.