Find the LCM of 292, 179, 731, 392, 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, 179, 731, 392, 676. So, keep reading to learn more.
Given numbers are 292,179,731,392,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 292,179,731,392,676 is 632799372296.
Find LCM of 292,179,731,392,676 with Prime Factorization
2 | 292, 179, 731, 392, 676 |
2 | 146, 179, 731, 196, 338 |
73, 179, 731, 98, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 73 x 179 x 731 x 98 x 169 = 632799372296
Therefore, the lowest common multiple of 292,179,731,392,676 is 632799372296.
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 179 x 731 x 392 x 676 = 10124789956736
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
179 : 1, 179
731 : 1, 17, 43, 731
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
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 292,179,731,392,676, is 1.
Now, the common factors can be found like this.
292:2x 2x 73
179:179
731:17x 43
392:2x 2x 2x 7x 7
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 2 = 16
Therefore, the value for common factors is 16.
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 = 10124789956736/(1x16)
LCM = 10124789956736/16
LCM = 632799372296
Thus, we can understand that the LCM of 292,179,731,392,676 is 632799372296.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 292, 179, 731, 392, 676?
Answer: LCM of 292, 179, 731, 392, 676 is 632799372296.
2. How to calculate the LCM of 292, 179, 731, 392, 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, 179, 731, 392, 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}.