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LCM of 730, 442, 175, 351

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


Find the LCM of 730, 442, 175, 351 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 730, 442, 175, 351. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 730,442,175,351

Given numbers are 730,442,175,351

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

The LCM of 730,442,175,351 is 152456850.

Find LCM of 730,442,175,351 with Prime Factorization


2 730, 442, 175, 351
5 365, 221, 175, 351
13 73, 221, 35, 351
73, 17, 35, 27

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

2 x 5 x 13 x 73 x 17 x 35 x 27 = 152456850

Therefore, the lowest common multiple of 730,442,175,351 is 152456850.

LCM Formula to Find Lowest Common Multiple of 730,442,175,351

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.

730 x 442 x 175 x 351 = 19819390500

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.

730 : 1, 2, 5, 10, 73, 146, 365, 730

442 : 1, 2, 13, 17, 26, 34, 221, 442

175 : 1, 5, 7, 25, 35, 175

351 : 1, 3, 9, 13, 27, 39, 117, 351

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,442,175,351, is 1.

Now, the common factors can be found like this.

730:2x 5x 73

442:2x 13x 17

175:5x 5x 7

351:3x 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 5x 13 = 130

Therefore, the value for common factors is 130.

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 = 19819390500/(1x130)

LCM = 19819390500/130

LCM = 152456850

Thus, we can understand that the LCM of 730,442,175,351 is 152456850.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 730, 442, 175, 351

1. What is the LCM of 730, 442, 175, 351?

Answer: LCM of 730, 442, 175, 351 is 152456850.

2. How to calculate the LCM of 730, 442, 175, 351?

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 730, 442, 175, 351.

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}.