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LCM of 620, 283, 529, 946, 986

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


Find the LCM of 620, 283, 529, 946, 986 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 620, 283, 529, 946, 986. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 620,283,529,946,986

Given numbers are 620,283,529,946,986

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

The LCM of 620,283,529,946,986 is 21644215886260.

Find LCM of 620,283,529,946,986 with Prime Factorization


2 620, 283, 529, 946, 986
310, 283, 529, 473, 493

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

2 x 310 x 283 x 529 x 473 x 493 = 21644215886260

Therefore, the lowest common multiple of 620,283,529,946,986 is 21644215886260.

LCM Formula to Find Lowest Common Multiple of 620,283,529,946,986

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.

620 x 283 x 529 x 946 x 986 = 86576863545040

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.

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

283 : 1, 283

529 : 1, 23, 529

946 : 1, 2, 11, 22, 43, 86, 473, 946

986 : 1, 2, 17, 29, 34, 58, 493, 986

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,283,529,946,986, is 1.

Now, the common factors can be found like this.

620:2x 2x 5x 31

283:283

529:23x 23

946:2x 11x 43

986:2x 17x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 86576863545040/(1x4)

LCM = 86576863545040/4

LCM = 21644215886260

Thus, we can understand that the LCM of 620,283,529,946,986 is 21644215886260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 620, 283, 529, 946, 986

1. What is the LCM of 620, 283, 529, 946, 986?

Answer: LCM of 620, 283, 529, 946, 986 is 21644215886260.

2. How to calculate the LCM of 620, 283, 529, 946, 986?

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 620, 283, 529, 946, 986.

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}.