Find the LCM of 229, 331, 893, 687, 670 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 229, 331, 893, 687, 670. So, keep reading to learn more.
Given numbers are 229,331,893,687,670
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 229,331,893,687,670 is 136053899070.
Find LCM of 229,331,893,687,670 with Prime Factorization
229 | 229, 331, 893, 687, 670 |
1, 331, 893, 3, 670 |
Multiply the prime numbers at the bottom and the left side.
229 x 1 x 331 x 893 x 3 x 670 = 136053899070
Therefore, the lowest common multiple of 229,331,893,687,670 is 136053899070.
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.
229 x 331 x 893 x 687 x 670 = 31156342887030
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.
229 : 1, 229
331 : 1, 331
893 : 1, 19, 47, 893
687 : 1, 3, 229, 687
670 : 1, 2, 5, 10, 67, 134, 335, 670
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,331,893,687,670, is 1.
Now, the common factors can be found like this.
229:229
331:331
893:19x 47
687:3x 229
670:2x 5x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
229 = 229
Therefore, the value for common factors is 229.
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 = 31156342887030/(1x229)
LCM = 31156342887030/229
LCM = 136053899070
Thus, we can understand that the LCM of 229,331,893,687,670 is 136053899070.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 229, 331, 893, 687, 670?
Answer: LCM of 229, 331, 893, 687, 670 is 136053899070.
2. How to calculate the LCM of 229, 331, 893, 687, 670?
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 229, 331, 893, 687, 670.
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}.