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LCM of 482, 847, 893, 899, 510

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


Find the LCM of 482, 847, 893, 899, 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 482, 847, 893, 899, 510. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 482,847,893,899,510

Given numbers are 482,847,893,899,510

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

The LCM of 482,847,893,899,510 is 83576038089390.

Find LCM of 482,847,893,899,510 with Prime Factorization


2 482, 847, 893, 899, 510
241, 847, 893, 899, 255

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

2 x 241 x 847 x 893 x 899 x 255 = 83576038089390

Therefore, the lowest common multiple of 482,847,893,899,510 is 83576038089390.

LCM Formula to Find Lowest Common Multiple of 482,847,893,899,510

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.

482 x 847 x 893 x 899 x 510 = 167152076178780

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.

482 : 1, 2, 241, 482

847 : 1, 7, 11, 77, 121, 847

893 : 1, 19, 47, 893

899 : 1, 29, 31, 899

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 482,847,893,899,510, is 1.

Now, the common factors can be found like this.

482:2x 241

847:7x 11x 11

893:19x 47

899:29x 31

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 167152076178780/(1x2)

LCM = 167152076178780/2

LCM = 83576038089390

Thus, we can understand that the LCM of 482,847,893,899,510 is 83576038089390.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 482, 847, 893, 899, 510

1. What is the LCM of 482, 847, 893, 899, 510?

Answer: LCM of 482, 847, 893, 899, 510 is 83576038089390.

2. How to calculate the LCM of 482, 847, 893, 899, 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 482, 847, 893, 899, 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}.