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LCM of 748, 497, 272, 431, 466

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


Find the LCM of 748, 497, 272, 431, 466 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, 497, 272, 431, 466. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 748,497,272,431,466

Given numbers are 748,497,272,431,466

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

The LCM of 748,497,272,431,466 is 149331411152.

Find LCM of 748,497,272,431,466 with Prime Factorization


2 748, 497, 272, 431, 466
2 374, 497, 136, 431, 233
17 187, 497, 68, 431, 233
11, 497, 4, 431, 233

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

2 x 2 x 17 x 11 x 497 x 4 x 431 x 233 = 149331411152

Therefore, the lowest common multiple of 748,497,272,431,466 is 149331411152.

LCM Formula to Find Lowest Common Multiple of 748,497,272,431,466

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 497 x 272 x 431 x 466 = 20309071916672

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

497 : 1, 7, 71, 497

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

431 : 1, 431

466 : 1, 2, 233, 466

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,497,272,431,466, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

497:7x 71

272:2x 2x 2x 2x 17

431:431

466:2x 233

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 17 = 136

Therefore, the value for common factors is 136.

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 = 20309071916672/(1x136)

LCM = 20309071916672/136

LCM = 149331411152

Thus, we can understand that the LCM of 748,497,272,431,466 is 149331411152.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 748, 497, 272, 431, 466

1. What is the LCM of 748, 497, 272, 431, 466?

Answer: LCM of 748, 497, 272, 431, 466 is 149331411152.

2. How to calculate the LCM of 748, 497, 272, 431, 466?

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, 497, 272, 431, 466.

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}.