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LCM of 554, 234, 899, 547, 467

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


Find the LCM of 554, 234, 899, 547, 467 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 554, 234, 899, 547, 467. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 554,234,899,547,467

Given numbers are 554,234,899,547,467

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

The LCM of 554,234,899,547,467 is 14885366260518.

Find LCM of 554,234,899,547,467 with Prime Factorization


2 554, 234, 899, 547, 467
277, 117, 899, 547, 467

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

2 x 277 x 117 x 899 x 547 x 467 = 14885366260518

Therefore, the lowest common multiple of 554,234,899,547,467 is 14885366260518.

LCM Formula to Find Lowest Common Multiple of 554,234,899,547,467

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.

554 x 234 x 899 x 547 x 467 = 29770732521036

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.

554 : 1, 2, 277, 554

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

899 : 1, 29, 31, 899

547 : 1, 547

467 : 1, 467

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 554,234,899,547,467, is 1.

Now, the common factors can be found like this.

554:2x 277

234:2x 3x 3x 13

899:29x 31

547:547

467:467

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

2 = 2

Therefore, the value for common factors is 2.

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 = 29770732521036/(1x2)

LCM = 29770732521036/2

LCM = 14885366260518

Thus, we can understand that the LCM of 554,234,899,547,467 is 14885366260518.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 554, 234, 899, 547, 467

1. What is the LCM of 554, 234, 899, 547, 467?

Answer: LCM of 554, 234, 899, 547, 467 is 14885366260518.

2. How to calculate the LCM of 554, 234, 899, 547, 467?

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 554, 234, 899, 547, 467.

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}.