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LCM of 377, 261, 725, 822

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


Find the LCM of 377, 261, 725, 822 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 377, 261, 725, 822. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 377,261,725,822

Given numbers are 377,261,725,822

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

The LCM of 377,261,725,822 is 23242050.

Find LCM of 377,261,725,822 with Prime Factorization


3 377, 261, 725, 822
29 377, 87, 725, 274
13, 3, 25, 274

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

3 x 29 x 13 x 3 x 25 x 274 = 23242050

Therefore, the lowest common multiple of 377,261,725,822 is 23242050.

LCM Formula to Find Lowest Common Multiple of 377,261,725,822

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.

377 x 261 x 725 x 822 = 58639692150

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.

377 : 1, 13, 29, 377

261 : 1, 3, 9, 29, 87, 261

725 : 1, 5, 25, 29, 145, 725

822 : 1, 2, 3, 6, 137, 274, 411, 822

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,261,725,822, is 1.

Now, the common factors can be found like this.

377:13x 29

261:3x 3x 29

725:5x 5x 29

822:2x 3x 137

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

3x 29x 29 = 2523

Therefore, the value for common factors is 2523.

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 = 58639692150/(1x2523)

LCM = 58639692150/2523

LCM = 23242050

Thus, we can understand that the LCM of 377,261,725,822 is 23242050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 377, 261, 725, 822

1. What is the LCM of 377, 261, 725, 822?

Answer: LCM of 377, 261, 725, 822 is 23242050.

2. How to calculate the LCM of 377, 261, 725, 822?

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 377, 261, 725, 822.

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}.