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LCM of 918, 734, 221, 390

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


Find the LCM of 918, 734, 221, 390 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 918, 734, 221, 390. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 918,734,221,390

Given numbers are 918,734,221,390

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

The LCM of 918,734,221,390 is 21898890.

Find LCM of 918,734,221,390 with Prime Factorization


2 918, 734, 221, 390
3 459, 367, 221, 195
13 153, 367, 221, 65
17 153, 367, 17, 5
9, 367, 1, 5

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

2 x 3 x 13 x 17 x 9 x 367 x 1 x 5 = 21898890

Therefore, the lowest common multiple of 918,734,221,390 is 21898890.

LCM Formula to Find Lowest Common Multiple of 918,734,221,390

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.

918 x 734 x 221 x 390 = 58075856280

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.

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

734 : 1, 2, 367, 734

221 : 1, 13, 17, 221

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 918,734,221,390, is 1.

Now, the common factors can be found like this.

918:2x 3x 3x 3x 17

734:2x 367

221:13x 17

390:2x 3x 5x 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 2x 3x 13x 17 = 2652

Therefore, the value for common factors is 2652.

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 = 58075856280/(1x2652)

LCM = 58075856280/2652

LCM = 21898890

Thus, we can understand that the LCM of 918,734,221,390 is 21898890.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 918, 734, 221, 390

1. What is the LCM of 918, 734, 221, 390?

Answer: LCM of 918, 734, 221, 390 is 21898890.

2. How to calculate the LCM of 918, 734, 221, 390?

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 918, 734, 221, 390.

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}.