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LCM of 367, 247, 234, 421, 823

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


Find the LCM of 367, 247, 234, 421, 823 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 367, 247, 234, 421, 823. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 367,247,234,421,823

Given numbers are 367,247,234,421,823

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

The LCM of 367,247,234,421,823 is 565350074406.

Find LCM of 367,247,234,421,823 with Prime Factorization


13 367, 247, 234, 421, 823
367, 19, 18, 421, 823

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

13 x 367 x 19 x 18 x 421 x 823 = 565350074406

Therefore, the lowest common multiple of 367,247,234,421,823 is 565350074406.

LCM Formula to Find Lowest Common Multiple of 367,247,234,421,823

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.

367 x 247 x 234 x 421 x 823 = 7349550967278

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.

367 : 1, 367

247 : 1, 13, 19, 247

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

421 : 1, 421

823 : 1, 823

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,247,234,421,823, is 1.

Now, the common factors can be found like this.

367:367

247:13x 19

234:2x 3x 3x 13

421:421

823:823

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

13 = 13

Therefore, the value for common factors is 13.

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 = 7349550967278/(1x13)

LCM = 7349550967278/13

LCM = 565350074406

Thus, we can understand that the LCM of 367,247,234,421,823 is 565350074406.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 367, 247, 234, 421, 823

1. What is the LCM of 367, 247, 234, 421, 823?

Answer: LCM of 367, 247, 234, 421, 823 is 565350074406.

2. How to calculate the LCM of 367, 247, 234, 421, 823?

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 367, 247, 234, 421, 823.

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}.