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LCM of 234, 473, 741, 395

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


Find the LCM of 234, 473, 741, 395 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 234, 473, 741, 395. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 234,473,741,395

Given numbers are 234,473,741,395

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

The LCM of 234,473,741,395 is 830668410.

Find LCM of 234,473,741,395 with Prime Factorization


3 234, 473, 741, 395
13 78, 473, 247, 395
6, 473, 19, 395

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

3 x 13 x 6 x 473 x 19 x 395 = 830668410

Therefore, the lowest common multiple of 234,473,741,395 is 830668410.

LCM Formula to Find Lowest Common Multiple of 234,473,741,395

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.

234 x 473 x 741 x 395 = 32396067990

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

473 : 1, 11, 43, 473

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

395 : 1, 5, 79, 395

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,473,741,395, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

473:11x 43

741:3x 13x 19

395:5x 79

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

3x 13 = 39

Therefore, the value for common factors is 39.

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 = 32396067990/(1x39)

LCM = 32396067990/39

LCM = 830668410

Thus, we can understand that the LCM of 234,473,741,395 is 830668410.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 234, 473, 741, 395

1. What is the LCM of 234, 473, 741, 395?

Answer: LCM of 234, 473, 741, 395 is 830668410.

2. How to calculate the LCM of 234, 473, 741, 395?

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 234, 473, 741, 395.

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}.