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LCM of 299, 262, 124, 682, 558

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


Find the LCM of 299, 262, 124, 682, 558 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 299, 262, 124, 682, 558. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 299,262,124,682,558

Given numbers are 299,262,124,682,558

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

The LCM of 299,262,124,682,558 is 480838644.

Find LCM of 299,262,124,682,558 with Prime Factorization


2 299, 262, 124, 682, 558
31 299, 131, 62, 341, 279
299, 131, 2, 11, 9

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

2 x 31 x 299 x 131 x 2 x 11 x 9 = 480838644

Therefore, the lowest common multiple of 299,262,124,682,558 is 480838644.

LCM Formula to Find Lowest Common Multiple of 299,262,124,682,558

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.

299 x 262 x 124 x 682 x 558 = 3696687495072

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.

299 : 1, 13, 23, 299

262 : 1, 2, 131, 262

124 : 1, 2, 4, 31, 62, 124

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

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,262,124,682,558, is 1.

Now, the common factors can be found like this.

299:13x 23

262:2x 131

124:2x 2x 31

682:2x 11x 31

558:2x 3x 3x 31

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 31x 31 = 7688

Therefore, the value for common factors is 7688.

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 = 3696687495072/(1x7688)

LCM = 3696687495072/7688

LCM = 480838644

Thus, we can understand that the LCM of 299,262,124,682,558 is 480838644.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 299, 262, 124, 682, 558

1. What is the LCM of 299, 262, 124, 682, 558?

Answer: LCM of 299, 262, 124, 682, 558 is 480838644.

2. How to calculate the LCM of 299, 262, 124, 682, 558?

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 299, 262, 124, 682, 558.

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}.