LCM of 292, 806, 310, 354, 676
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 292, 806, 310, 354, 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 292, 806, 310, 354, 676. So, keep reading to learn more.
Given numbers are 292,806,310,354,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 292,806,310,354,676 is 1353862380.
Find LCM of 292,806,310,354,676 with Prime Factorization
| 2 | 292, 806, 310, 354, 676 |
| 2 | 146, 403, 155, 177, 338 |
| 13 | 73, 403, 155, 177, 169 |
| 31 | 73, 31, 155, 177, 13 |
| 73, 1, 5, 177, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 31 x 73 x 1 x 5 x 177 x 13 = 1353862380
Therefore, the lowest common multiple of 292,806,310,354,676 is 1353862380.
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.
292 x 806 x 310 x 354 x 676 = 17459409252480
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.
292 : 1, 2, 4, 73, 146, 292
806 : 1, 2, 13, 26, 31, 62, 403, 806
310 : 1, 2, 5, 10, 31, 62, 155, 310
354 : 1, 2, 3, 6, 59, 118, 177, 354
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,806,310,354,676, is 2.
Now, the common factors can be found like this.
292:2x 2x 73
806:2x 13x 31
310:2x 5x 31
354:2x 3x 59
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 13x 31 = 6448
Therefore, the value for common factors is 6448.
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 = 17459409252480/(2x6448)
LCM = 17459409252480/12896
LCM = 1353862380
Thus, we can understand that the LCM of 292,806,310,354,676 is 1353862380.
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FAQs on LCM of 292, 806, 310, 354, 676
1. What is the LCM of 292, 806, 310, 354, 676?
Answer: LCM of 292, 806, 310, 354, 676 is 1353862380.
2. How to calculate the LCM of 292, 806, 310, 354, 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 292, 806, 310, 354, 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}.