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LCM of 748, 260, 923, 493

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


Find the LCM of 748, 260, 923, 493 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, 260, 923, 493. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 748,260,923,493

Given numbers are 748,260,923,493

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

The LCM of 748,260,923,493 is 100108580.

Find LCM of 748,260,923,493 with Prime Factorization


2 748, 260, 923, 493
2 374, 130, 923, 493
13 187, 65, 923, 493
17 187, 5, 71, 493
11, 5, 71, 29

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

2 x 2 x 13 x 17 x 11 x 5 x 71 x 29 = 100108580

Therefore, the lowest common multiple of 748,260,923,493 is 100108580.

LCM Formula to Find Lowest Common Multiple of 748,260,923,493

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 260 x 923 x 493 = 88495984720

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

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

923 : 1, 13, 71, 923

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,260,923,493, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

260:2x 2x 5x 13

923:13x 71

493:17x 29

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 13x 17 = 884

Therefore, the value for common factors is 884.

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 = 88495984720/(1x884)

LCM = 88495984720/884

LCM = 100108580

Thus, we can understand that the LCM of 748,260,923,493 is 100108580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 748, 260, 923, 493

1. What is the LCM of 748, 260, 923, 493?

Answer: LCM of 748, 260, 923, 493 is 100108580.

2. How to calculate the LCM of 748, 260, 923, 493?

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, 260, 923, 493.

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}.