LCM of 262, 583, 312, 722, 676
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 262, 583, 312, 722, 676 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 262, 583, 312, 722, 676. So, keep reading to learn more.
Given numbers are 262,583,312,722,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 262,583,312,722,676 is 111826568568.
Find LCM of 262,583,312,722,676 with Prime Factorization
| 2 | 262, 583, 312, 722, 676 |
| 2 | 131, 583, 156, 361, 338 |
| 13 | 131, 583, 78, 361, 169 |
| 131, 583, 6, 361, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 131 x 583 x 6 x 361 x 13 = 111826568568
Therefore, the lowest common multiple of 262,583,312,722,676 is 111826568568.
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.
262 x 583 x 312 x 722 x 676 = 23259926262144
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.
262 : 1, 2, 131, 262
583 : 1, 11, 53, 583
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
722 : 1, 2, 19, 38, 361, 722
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,583,312,722,676, is 1.
Now, the common factors can be found like this.
262:2x 131
583:11x 53
312:2x 2x 2x 3x 13
722:2x 19x 19
676:2x 2x 13x 13
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 13 = 208
Therefore, the value for common factors is 208.
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 = 23259926262144/(1x208)
LCM = 23259926262144/208
LCM = 111826568568
Thus, we can understand that the LCM of 262,583,312,722,676 is 111826568568.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 262, 583, 312, 722, 676
1. What is the LCM of 262, 583, 312, 722, 676?
Answer: LCM of 262, 583, 312, 722, 676 is 111826568568.
2. How to calculate the LCM of 262, 583, 312, 722, 676?
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 262, 583, 312, 722, 676.
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}.