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LCM of 275, 130, 312, 554

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


Find the LCM of 275, 130, 312, 554 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 275, 130, 312, 554. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 275,130,312,554

Given numbers are 275,130,312,554

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

The LCM of 275,130,312,554 is 23766600.

Find LCM of 275,130,312,554 with Prime Factorization


2 275, 130, 312, 554
5 275, 65, 156, 277
13 55, 13, 156, 277
55, 1, 12, 277

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

2 x 5 x 13 x 55 x 1 x 12 x 277 = 23766600

Therefore, the lowest common multiple of 275,130,312,554 is 23766600.

LCM Formula to Find Lowest Common Multiple of 275,130,312,554

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.

275 x 130 x 312 x 554 = 6179316000

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.

275 : 1, 5, 11, 25, 55, 275

130 : 1, 2, 5, 10, 13, 26, 65, 130

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

554 : 1, 2, 277, 554

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 275,130,312,554, is 1.

Now, the common factors can be found like this.

275:5x 5x 11

130:2x 5x 13

312:2x 2x 2x 3x 13

554:2x 277

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

2x 2x 5x 13 = 260

Therefore, the value for common factors is 260.

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 = 6179316000/(1x260)

LCM = 6179316000/260

LCM = 23766600

Thus, we can understand that the LCM of 275,130,312,554 is 23766600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 275, 130, 312, 554

1. What is the LCM of 275, 130, 312, 554?

Answer: LCM of 275, 130, 312, 554 is 23766600.

2. How to calculate the LCM of 275, 130, 312, 554?

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 275, 130, 312, 554.

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}.