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LCM of 744, 417, 634, 429, 732

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


Find the LCM of 744, 417, 634, 429, 732 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 744, 417, 634, 429, 732. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 744,417,634,429,732

Given numbers are 744,417,634,429,732

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

The LCM of 744,417,634,429,732 is 285964992456.

Find LCM of 744,417,634,429,732 with Prime Factorization


2 744, 417, 634, 429, 732
2 372, 417, 317, 429, 366
3 186, 417, 317, 429, 183
62, 139, 317, 143, 61

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

2 x 2 x 3 x 62 x 139 x 317 x 143 x 61 = 285964992456

Therefore, the lowest common multiple of 744,417,634,429,732 is 285964992456.

LCM Formula to Find Lowest Common Multiple of 744,417,634,429,732

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.

744 x 417 x 634 x 429 x 732 = 61768438370496

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.

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

417 : 1, 3, 139, 417

634 : 1, 2, 317, 634

429 : 1, 3, 11, 13, 33, 39, 143, 429

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 744,417,634,429,732, is 1.

Now, the common factors can be found like this.

744:2x 2x 2x 3x 31

417:3x 139

634:2x 317

429:3x 11x 13

732:2x 2x 3x 61

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 61768438370496/(1x216)

LCM = 61768438370496/216

LCM = 285964992456

Thus, we can understand that the LCM of 744,417,634,429,732 is 285964992456.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 744, 417, 634, 429, 732

1. What is the LCM of 744, 417, 634, 429, 732?

Answer: LCM of 744, 417, 634, 429, 732 is 285964992456.

2. How to calculate the LCM of 744, 417, 634, 429, 732?

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 744, 417, 634, 429, 732.

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}.