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LCM of 620, 682, 994, 282, 781

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


Find the LCM of 620, 682, 994, 282, 781 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, 682, 994, 282, 781. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 620,682,994,282,781

Given numbers are 620,682,994,282,781

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

The LCM of 620,682,994,282,781 is 477925140.

Find LCM of 620,682,994,282,781 with Prime Factorization


2 620, 682, 994, 282, 781
11 310, 341, 497, 141, 781
31 310, 31, 497, 141, 71
71 10, 1, 497, 141, 71
10, 1, 7, 141, 1

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

2 x 11 x 31 x 71 x 10 x 1 x 7 x 141 x 1 = 477925140

Therefore, the lowest common multiple of 620,682,994,282,781 is 477925140.

LCM Formula to Find Lowest Common Multiple of 620,682,994,282,781

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 682 x 994 x 282 x 781 = 92568364516320

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

682 : 1, 2, 11, 22, 31, 62, 341, 682

994 : 1, 2, 7, 14, 71, 142, 497, 994

282 : 1, 2, 3, 6, 47, 94, 141, 282

781 : 1, 11, 71, 781

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,682,994,282,781, is 1.

Now, the common factors can be found like this.

620:2x 2x 5x 31

682:2x 11x 31

994:2x 7x 71

282:2x 3x 47

781:11x 71

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 11x 31x 71 = 193688

Therefore, the value for common factors is 193688.

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 = 92568364516320/(1x193688)

LCM = 92568364516320/193688

LCM = 477925140

Thus, we can understand that the LCM of 620,682,994,282,781 is 477925140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 620, 682, 994, 282, 781

1. What is the LCM of 620, 682, 994, 282, 781?

Answer: LCM of 620, 682, 994, 282, 781 is 477925140.

2. How to calculate the LCM of 620, 682, 994, 282, 781?

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, 682, 994, 282, 781.

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}.