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LCM of 723, 923, 374, 442

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


Find the LCM of 723, 923, 374, 442 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 723, 923, 374, 442. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 723,923,374,442

Given numbers are 723,923,374,442

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

The LCM of 723,923,374,442 is 249581046.

Find LCM of 723,923,374,442 with Prime Factorization


2 723, 923, 374, 442
13 723, 923, 187, 221
17 723, 71, 187, 17
723, 71, 11, 1

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

2 x 13 x 17 x 723 x 71 x 11 x 1 = 249581046

Therefore, the lowest common multiple of 723,923,374,442 is 249581046.

LCM Formula to Find Lowest Common Multiple of 723,923,374,442

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.

723 x 923 x 374 x 442 = 110314822332

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.

723 : 1, 3, 241, 723

923 : 1, 13, 71, 923

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

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,923,374,442, is 1.

Now, the common factors can be found like this.

723:3x 241

923:13x 71

374:2x 11x 17

442:2x 13x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 13x 17 = 442

Therefore, the value for common factors is 442.

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 = 110314822332/(1x442)

LCM = 110314822332/442

LCM = 249581046

Thus, we can understand that the LCM of 723,923,374,442 is 249581046.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 723, 923, 374, 442

1. What is the LCM of 723, 923, 374, 442?

Answer: LCM of 723, 923, 374, 442 is 249581046.

2. How to calculate the LCM of 723, 923, 374, 442?

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 723, 923, 374, 442.

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}.