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LCM of 312, 517, 566, 611, 712

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


Find the LCM of 312, 517, 566, 611, 712 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 312, 517, 566, 611, 712. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 312,517,566,611,712

Given numbers are 312,517,566,611,712

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

The LCM of 312,517,566,611,712 is 4062763848.

Find LCM of 312,517,566,611,712 with Prime Factorization


2 312, 517, 566, 611, 712
2 156, 517, 283, 611, 356
2 78, 517, 283, 611, 178
13 39, 517, 283, 611, 89
47 3, 517, 283, 47, 89
3, 11, 283, 1, 89

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

2 x 2 x 2 x 13 x 47 x 3 x 11 x 283 x 1 x 89 = 4062763848

Therefore, the lowest common multiple of 312,517,566,611,712 is 4062763848.

LCM Formula to Find Lowest Common Multiple of 312,517,566,611,712

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.

312 x 517 x 566 x 611 x 712 = 39717579378048

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

517 : 1, 11, 47, 517

566 : 1, 2, 283, 566

611 : 1, 13, 47, 611

712 : 1, 2, 4, 8, 89, 178, 356, 712

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,517,566,611,712, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

517:11x 47

566:2x 283

611:13x 47

712:2x 2x 2x 89

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 47 = 9776

Therefore, the value for common factors is 9776.

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 = 39717579378048/(1x9776)

LCM = 39717579378048/9776

LCM = 4062763848

Thus, we can understand that the LCM of 312,517,566,611,712 is 4062763848.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 312, 517, 566, 611, 712

1. What is the LCM of 312, 517, 566, 611, 712?

Answer: LCM of 312, 517, 566, 611, 712 is 4062763848.

2. How to calculate the LCM of 312, 517, 566, 611, 712?

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 312, 517, 566, 611, 712.

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}.