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LCM of 361, 648, 348, 627, 952

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


Find the LCM of 361, 648, 348, 627, 952 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 361, 648, 348, 627, 952. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 361,648,348,627,952

Given numbers are 361,648,348,627,952

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

The LCM of 361,648,348,627,952 is 8880140808.

Find LCM of 361,648,348,627,952 with Prime Factorization


2 361, 648, 348, 627, 952
2 361, 324, 174, 627, 476
2 361, 162, 87, 627, 238
3 361, 81, 87, 627, 119
19 361, 27, 29, 209, 119
19, 27, 29, 11, 119

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

2 x 2 x 2 x 3 x 19 x 19 x 27 x 29 x 11 x 119 = 8880140808

Therefore, the lowest common multiple of 361,648,348,627,952 is 8880140808.

LCM Formula to Find Lowest Common Multiple of 361,648,348,627,952

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.

361 x 648 x 348 x 627 x 952 = 48592130501376

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.

361 : 1, 19, 361

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

627 : 1, 3, 11, 19, 33, 57, 209, 627

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,648,348,627,952, is 1.

Now, the common factors can be found like this.

361:19x 19

648:2x 2x 2x 3x 3x 3x 3

348:2x 2x 3x 29

627:3x 11x 19

952:2x 2x 2x 7x 17

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 2x 2x 3x 3x 19 = 5472

Therefore, the value for common factors is 5472.

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 = 48592130501376/(1x5472)

LCM = 48592130501376/5472

LCM = 8880140808

Thus, we can understand that the LCM of 361,648,348,627,952 is 8880140808.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 361, 648, 348, 627, 952

1. What is the LCM of 361, 648, 348, 627, 952?

Answer: LCM of 361, 648, 348, 627, 952 is 8880140808.

2. How to calculate the LCM of 361, 648, 348, 627, 952?

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 361, 648, 348, 627, 952.

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}.