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LCM of 225, 281, 739, 562

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


Find the LCM of 225, 281, 739, 562 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 225, 281, 739, 562. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 225,281,739,562

Given numbers are 225,281,739,562

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

The LCM of 225,281,739,562 is 93446550.

Find LCM of 225,281,739,562 with Prime Factorization


281 225, 281, 739, 562
225, 1, 739, 2

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

281 x 225 x 1 x 739 x 2 = 93446550

Therefore, the lowest common multiple of 225,281,739,562 is 93446550.

LCM Formula to Find Lowest Common Multiple of 225,281,739,562

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.

225 x 281 x 739 x 562 = 26258480550

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.

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

281 : 1, 281

739 : 1, 739

562 : 1, 2, 281, 562

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 225,281,739,562, is 1.

Now, the common factors can be found like this.

225:3x 3x 5x 5

281:281

739:739

562:2x 281

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

281 = 281

Therefore, the value for common factors is 281.

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 = 26258480550/(1x281)

LCM = 26258480550/281

LCM = 93446550

Thus, we can understand that the LCM of 225,281,739,562 is 93446550.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 225, 281, 739, 562

1. What is the LCM of 225, 281, 739, 562?

Answer: LCM of 225, 281, 739, 562 is 93446550.

2. How to calculate the LCM of 225, 281, 739, 562?

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 225, 281, 739, 562.

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}.