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LCM of 510, 612, 814, 908

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


Find the LCM of 510, 612, 814, 908 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 510, 612, 814, 908. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 510,612,814,908

Given numbers are 510,612,814,908

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

The LCM of 510,612,814,908 is 282710340.

Find LCM of 510,612,814,908 with Prime Factorization


2 510, 612, 814, 908
2 255, 306, 407, 454
3 255, 153, 407, 227
17 85, 51, 407, 227
5, 3, 407, 227

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

2 x 2 x 3 x 17 x 5 x 3 x 407 x 227 = 282710340

Therefore, the lowest common multiple of 510,612,814,908 is 282710340.

LCM Formula to Find Lowest Common Multiple of 510,612,814,908

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.

510 x 612 x 814 x 908 = 230691637440

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.

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

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

814 : 1, 2, 11, 22, 37, 74, 407, 814

908 : 1, 2, 4, 227, 454, 908

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,612,814,908, is 2.

Now, the common factors can be found like this.

510:2x 3x 5x 17

612:2x 2x 3x 3x 17

814:2x 11x 37

908:2x 2x 227

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 17 = 408

Therefore, the value for common factors is 408.

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 = 230691637440/(2x408)

LCM = 230691637440/816

LCM = 282710340

Thus, we can understand that the LCM of 510,612,814,908 is 282710340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 510, 612, 814, 908

1. What is the LCM of 510, 612, 814, 908?

Answer: LCM of 510, 612, 814, 908 is 282710340.

2. How to calculate the LCM of 510, 612, 814, 908?

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 510, 612, 814, 908.

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}.