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LCM of 908, 517, 227, 510

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


Find the LCM of 908, 517, 227, 510 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 908, 517, 227, 510. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 908,517,227,510

Given numbers are 908,517,227,510

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

The LCM of 908,517,227,510 is 119706180.

Find LCM of 908,517,227,510 with Prime Factorization


2 908, 517, 227, 510
227 454, 517, 227, 255
2, 517, 1, 255

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

2 x 227 x 2 x 517 x 1 x 255 = 119706180

Therefore, the lowest common multiple of 908,517,227,510 is 119706180.

LCM Formula to Find Lowest Common Multiple of 908,517,227,510

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.

908 x 517 x 227 x 510 = 54346605720

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.

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

517 : 1, 11, 47, 517

227 : 1, 227

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 908,517,227,510, is 1.

Now, the common factors can be found like this.

908:2x 2x 227

517:11x 47

227:227

510:2x 3x 5x 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 227 = 454

Therefore, the value for common factors is 454.

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 = 54346605720/(1x454)

LCM = 54346605720/454

LCM = 119706180

Thus, we can understand that the LCM of 908,517,227,510 is 119706180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 908, 517, 227, 510

1. What is the LCM of 908, 517, 227, 510?

Answer: LCM of 908, 517, 227, 510 is 119706180.

2. How to calculate the LCM of 908, 517, 227, 510?

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 908, 517, 227, 510.

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}.