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LCM of 418, 104, 247, 552

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


Find the LCM of 418, 104, 247, 552 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 418, 104, 247, 552. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 418,104,247,552

Given numbers are 418,104,247,552

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

The LCM of 418,104,247,552 is 1499784.

Find LCM of 418,104,247,552 with Prime Factorization


2 418, 104, 247, 552
2 209, 52, 247, 276
2 209, 26, 247, 138
13 209, 13, 247, 69
19 209, 1, 19, 69
11, 1, 1, 69

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

2 x 2 x 2 x 13 x 19 x 11 x 1 x 1 x 69 = 1499784

Therefore, the lowest common multiple of 418,104,247,552 is 1499784.

LCM Formula to Find Lowest Common Multiple of 418,104,247,552

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.

418 x 104 x 247 x 552 = 5927146368

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

104 : 1, 2, 4, 8, 13, 26, 52, 104

247 : 1, 13, 19, 247

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,104,247,552, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

104:2x 2x 2x 13

247:13x 19

552:2x 2x 2x 3x 23

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 2x 2x 13x 19 = 3952

Therefore, the value for common factors is 3952.

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 = 5927146368/(1x3952)

LCM = 5927146368/3952

LCM = 1499784

Thus, we can understand that the LCM of 418,104,247,552 is 1499784.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 418, 104, 247, 552

1. What is the LCM of 418, 104, 247, 552?

Answer: LCM of 418, 104, 247, 552 is 1499784.

2. How to calculate the LCM of 418, 104, 247, 552?

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 418, 104, 247, 552.

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}.