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LCM of 312, 457, 742, 448, 538

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


Find the LCM of 312, 457, 742, 448, 538 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 312, 457, 742, 448, 538. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 312,457,742,448,538

Given numbers are 312,457,742,448,538

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

The LCM of 312,457,742,448,538 is 113837924928.

Find LCM of 312,457,742,448,538 with Prime Factorization


2 312, 457, 742, 448, 538
2 156, 457, 371, 224, 269
2 78, 457, 371, 112, 269
7 39, 457, 371, 56, 269
39, 457, 53, 8, 269

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

2 x 2 x 2 x 7 x 39 x 457 x 53 x 8 x 269 = 113837924928

Therefore, the lowest common multiple of 312,457,742,448,538 is 113837924928.

LCM Formula to Find Lowest Common Multiple of 312,457,742,448,538

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.

312 x 457 x 742 x 448 x 538 = 25499695183872

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

457 : 1, 457

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

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

538 : 1, 2, 269, 538

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,457,742,448,538, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

457:457

742:2x 7x 53

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

538:2x 269

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 7 = 224

Therefore, the value for common factors is 224.

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 = 25499695183872/(1x224)

LCM = 25499695183872/224

LCM = 113837924928

Thus, we can understand that the LCM of 312,457,742,448,538 is 113837924928.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 312, 457, 742, 448, 538

1. What is the LCM of 312, 457, 742, 448, 538?

Answer: LCM of 312, 457, 742, 448, 538 is 113837924928.

2. How to calculate the LCM of 312, 457, 742, 448, 538?

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 312, 457, 742, 448, 538.

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}.