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LCM of 397, 377, 377, 741, 154

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


Find the LCM of 397, 377, 377, 741, 154 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 397, 377, 377, 741, 154. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 397,377,377,741,154

Given numbers are 397,377,377,741,154

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

The LCM of 397,377,377,741,154 is 1313794482.

Find LCM of 397,377,377,741,154 with Prime Factorization


13 397, 377, 377, 741, 154
29 397, 29, 29, 57, 154
397, 1, 1, 57, 154

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

13 x 29 x 397 x 1 x 1 x 57 x 154 = 1313794482

Therefore, the lowest common multiple of 397,377,377,741,154 is 1313794482.

LCM Formula to Find Lowest Common Multiple of 397,377,377,741,154

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.

397 x 377 x 377 x 741 x 154 = 6438906756282

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.

397 : 1, 397

377 : 1, 13, 29, 377

377 : 1, 13, 29, 377

741 : 1, 3, 13, 19, 39, 57, 247, 741

154 : 1, 2, 7, 11, 14, 22, 77, 154

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,377,377,741,154, is 1.

Now, the common factors can be found like this.

397:397

377:13x 29

377:13x 29

741:3x 13x 19

154:2x 7x 11

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

13x 13x 29 = 4901

Therefore, the value for common factors is 4901.

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 = 6438906756282/(1x4901)

LCM = 6438906756282/4901

LCM = 1313794482

Thus, we can understand that the LCM of 397,377,377,741,154 is 1313794482.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 397, 377, 377, 741, 154

1. What is the LCM of 397, 377, 377, 741, 154?

Answer: LCM of 397, 377, 377, 741, 154 is 1313794482.

2. How to calculate the LCM of 397, 377, 377, 741, 154?

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 397, 377, 377, 741, 154.

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}.