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LCM of 904, 743, 299, 943, 267

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


Find the LCM of 904, 743, 299, 943, 267 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 904, 743, 299, 943, 267. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 904,743,299,943,267

Given numbers are 904,743,299,943,267

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

The LCM of 904,743,299,943,267 is 2198485221816.

Find LCM of 904,743,299,943,267 with Prime Factorization


23 904, 743, 299, 943, 267
904, 743, 13, 41, 267

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

23 x 904 x 743 x 13 x 41 x 267 = 2198485221816

Therefore, the lowest common multiple of 904,743,299,943,267 is 2198485221816.

LCM Formula to Find Lowest Common Multiple of 904,743,299,943,267

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.

904 x 743 x 299 x 943 x 267 = 50565160101768

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.

904 : 1, 2, 4, 8, 113, 226, 452, 904

743 : 1, 743

299 : 1, 13, 23, 299

943 : 1, 23, 41, 943

267 : 1, 3, 89, 267

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,743,299,943,267, is 1.

Now, the common factors can be found like this.

904:2x 2x 2x 113

743:743

299:13x 23

943:23x 41

267:3x 89

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

23 = 23

Therefore, the value for common factors is 23.

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 = 50565160101768/(1x23)

LCM = 50565160101768/23

LCM = 2198485221816

Thus, we can understand that the LCM of 904,743,299,943,267 is 2198485221816.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 904, 743, 299, 943, 267

1. What is the LCM of 904, 743, 299, 943, 267?

Answer: LCM of 904, 743, 299, 943, 267 is 2198485221816.

2. How to calculate the LCM of 904, 743, 299, 943, 267?

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 904, 743, 299, 943, 267.

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}.