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LCM of 567, 974, 990, 226

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


Find the LCM of 567, 974, 990, 226 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 567, 974, 990, 226. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 567,974,990,226

Given numbers are 567,974,990,226

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

The LCM of 567,974,990,226 is 3432283470.

Find LCM of 567,974,990,226 with Prime Factorization


2 567, 974, 990, 226
3 567, 487, 495, 113
3 189, 487, 165, 113
63, 487, 55, 113

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

2 x 3 x 3 x 63 x 487 x 55 x 113 = 3432283470

Therefore, the lowest common multiple of 567,974,990,226 is 3432283470.

LCM Formula to Find Lowest Common Multiple of 567,974,990,226

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.

567 x 974 x 990 x 226 = 123562204920

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.

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

974 : 1, 2, 487, 974

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

226 : 1, 2, 113, 226

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,974,990,226, is 1.

Now, the common factors can be found like this.

567:3x 3x 3x 3x 7

974:2x 487

990:2x 3x 3x 5x 11

226:2x 113

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 3 = 36

Therefore, the value for common factors is 36.

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 = 123562204920/(1x36)

LCM = 123562204920/36

LCM = 3432283470

Thus, we can understand that the LCM of 567,974,990,226 is 3432283470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 567, 974, 990, 226

1. What is the LCM of 567, 974, 990, 226?

Answer: LCM of 567, 974, 990, 226 is 3432283470.

2. How to calculate the LCM of 567, 974, 990, 226?

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 567, 974, 990, 226.

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}.