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LCM of 361, 437, 185, 720

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


Find the LCM of 361, 437, 185, 720 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, 437, 185, 720. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 361,437,185,720

Given numbers are 361,437,185,720

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

The LCM of 361,437,185,720 is 221191920.

Find LCM of 361,437,185,720 with Prime Factorization


5 361, 437, 185, 720
19 361, 437, 37, 144
19, 23, 37, 144

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

5 x 19 x 19 x 23 x 37 x 144 = 221191920

Therefore, the lowest common multiple of 361,437,185,720 is 221191920.

LCM Formula to Find Lowest Common Multiple of 361,437,185,720

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 437 x 185 x 720 = 21013232400

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

437 : 1, 19, 23, 437

185 : 1, 5, 37, 185

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,437,185,720, is 1.

Now, the common factors can be found like this.

361:19x 19

437:19x 23

185:5x 37

720:2x 2x 2x 2x 3x 3x 5

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

5x 19 = 95

Therefore, the value for common factors is 95.

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 = 21013232400/(1x95)

LCM = 21013232400/95

LCM = 221191920

Thus, we can understand that the LCM of 361,437,185,720 is 221191920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 361, 437, 185, 720

1. What is the LCM of 361, 437, 185, 720?

Answer: LCM of 361, 437, 185, 720 is 221191920.

2. How to calculate the LCM of 361, 437, 185, 720?

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, 437, 185, 720.

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}.