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LCM of 748, 923, 557, 455

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


Find the LCM of 748, 923, 557, 455 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 748, 923, 557, 455. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 748,923,557,455

Given numbers are 748,923,557,455

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

The LCM of 748,923,557,455 is 13459425980.

Find LCM of 748,923,557,455 with Prime Factorization


13 748, 923, 557, 455
748, 71, 557, 35

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

13 x 748 x 71 x 557 x 35 = 13459425980

Therefore, the lowest common multiple of 748,923,557,455 is 13459425980.

LCM Formula to Find Lowest Common Multiple of 748,923,557,455

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.

748 x 923 x 557 x 455 = 174972537740

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

923 : 1, 13, 71, 923

557 : 1, 557

455 : 1, 5, 7, 13, 35, 65, 91, 455

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,923,557,455, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

923:13x 71

557:557

455:5x 7x 13

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

13 = 13

Therefore, the value for common factors is 13.

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 = 174972537740/(1x13)

LCM = 174972537740/13

LCM = 13459425980

Thus, we can understand that the LCM of 748,923,557,455 is 13459425980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 748, 923, 557, 455

1. What is the LCM of 748, 923, 557, 455?

Answer: LCM of 748, 923, 557, 455 is 13459425980.

2. How to calculate the LCM of 748, 923, 557, 455?

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 748, 923, 557, 455.

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}.