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LCM of 575, 437, 646, 702

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


Find the LCM of 575, 437, 646, 702 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 575, 437, 646, 702. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 575,437,646,702

Given numbers are 575,437,646,702

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

The LCM of 575,437,646,702 is 130378950.

Find LCM of 575,437,646,702 with Prime Factorization


2 575, 437, 646, 702
19 575, 437, 323, 351
23 575, 23, 17, 351
25, 1, 17, 351

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

2 x 19 x 23 x 25 x 1 x 17 x 351 = 130378950

Therefore, the lowest common multiple of 575,437,646,702 is 130378950.

LCM Formula to Find Lowest Common Multiple of 575,437,646,702

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.

575 x 437 x 646 x 702 = 113951202300

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.

575 : 1, 5, 23, 25, 115, 575

437 : 1, 19, 23, 437

646 : 1, 2, 17, 19, 34, 38, 323, 646

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 575,437,646,702, is 1.

Now, the common factors can be found like this.

575:5x 5x 23

437:19x 23

646:2x 17x 19

702:2x 3x 3x 3x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 19x 23 = 874

Therefore, the value for common factors is 874.

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 = 113951202300/(1x874)

LCM = 113951202300/874

LCM = 130378950

Thus, we can understand that the LCM of 575,437,646,702 is 130378950.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 575, 437, 646, 702

1. What is the LCM of 575, 437, 646, 702?

Answer: LCM of 575, 437, 646, 702 is 130378950.

2. How to calculate the LCM of 575, 437, 646, 702?

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 575, 437, 646, 702.

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}.