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LCM of 634, 177, 346, 537, 518

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


Find the LCM of 634, 177, 346, 537, 518 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 634, 177, 346, 537, 518. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 634,177,346,537,518

Given numbers are 634,177,346,537,518

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

The LCM of 634,177,346,537,518 is 900039194754.

Find LCM of 634,177,346,537,518 with Prime Factorization


2 634, 177, 346, 537, 518
3 317, 177, 173, 537, 259
317, 59, 173, 179, 259

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

2 x 3 x 317 x 59 x 173 x 179 x 259 = 900039194754

Therefore, the lowest common multiple of 634,177,346,537,518 is 900039194754.

LCM Formula to Find Lowest Common Multiple of 634,177,346,537,518

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.

634 x 177 x 346 x 537 x 518 = 10800470337048

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.

634 : 1, 2, 317, 634

177 : 1, 3, 59, 177

346 : 1, 2, 173, 346

537 : 1, 3, 179, 537

518 : 1, 2, 7, 14, 37, 74, 259, 518

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,177,346,537,518, is 1.

Now, the common factors can be found like this.

634:2x 317

177:3x 59

346:2x 173

537:3x 179

518:2x 7x 37

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 3 = 12

Therefore, the value for common factors is 12.

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 = 10800470337048/(1x12)

LCM = 10800470337048/12

LCM = 900039194754

Thus, we can understand that the LCM of 634,177,346,537,518 is 900039194754.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 634, 177, 346, 537, 518

1. What is the LCM of 634, 177, 346, 537, 518?

Answer: LCM of 634, 177, 346, 537, 518 is 900039194754.

2. How to calculate the LCM of 634, 177, 346, 537, 518?

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 634, 177, 346, 537, 518.

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}.