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LCM of 418, 544, 612, 102

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


Find the LCM of 418, 544, 612, 102 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, 544, 612, 102. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 418,544,612,102

Given numbers are 418,544,612,102

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

The LCM of 418,544,612,102 is 1023264.

Find LCM of 418,544,612,102 with Prime Factorization


2 418, 544, 612, 102
2 209, 272, 306, 51
3 209, 136, 153, 51
17 209, 136, 17, 51
209, 8, 1, 3

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

2 x 2 x 3 x 17 x 209 x 8 x 1 x 3 = 1023264

Therefore, the lowest common multiple of 418,544,612,102 is 1023264.

LCM Formula to Find Lowest Common Multiple of 418,544,612,102

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 544 x 612 x 102 = 14194718208

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

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

102 : 1, 2, 3, 6, 17, 34, 51, 102

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,544,612,102, is 2.

Now, the common factors can be found like this.

418:2x 11x 19

544:2x 2x 2x 2x 2x 17

612:2x 2x 3x 3x 17

102:2x 3x 17

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 3x 17x 17 = 6936

Therefore, the value for common factors is 6936.

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 = 14194718208/(2x6936)

LCM = 14194718208/13872

LCM = 1023264

Thus, we can understand that the LCM of 418,544,612,102 is 1023264.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 418, 544, 612, 102

1. What is the LCM of 418, 544, 612, 102?

Answer: LCM of 418, 544, 612, 102 is 1023264.

2. How to calculate the LCM of 418, 544, 612, 102?

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, 544, 612, 102.

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}.