Find the LCM of 346, 684, 276, 458, 437 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 346, 684, 276, 458, 437. So, keep reading to learn more.
Given numbers are 346,684,276,458,437
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 346,684,276,458,437 is 623254644.
Find LCM of 346,684,276,458,437 with Prime Factorization
2 | 346, 684, 276, 458, 437 |
2 | 173, 342, 138, 229, 437 |
3 | 173, 171, 69, 229, 437 |
19 | 173, 57, 23, 229, 437 |
23 | 173, 3, 23, 229, 23 |
173, 3, 1, 229, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 23 x 173 x 3 x 1 x 229 x 1 = 623254644
Therefore, the lowest common multiple of 346,684,276,458,437 is 623254644.
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.
346 x 684 x 276 x 458 x 437 = 13073389412544
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.
346 : 1, 2, 173, 346
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
458 : 1, 2, 229, 458
437 : 1, 19, 23, 437
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,684,276,458,437, is 1.
Now, the common factors can be found like this.
346:2x 173
684:2x 2x 3x 3x 19
276:2x 2x 3x 23
458:2x 229
437:19x 23
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 3x 19x 23 = 20976
Therefore, the value for common factors is 20976.
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 = 13073389412544/(1x20976)
LCM = 13073389412544/20976
LCM = 623254644
Thus, we can understand that the LCM of 346,684,276,458,437 is 623254644.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 346, 684, 276, 458, 437?
Answer: LCM of 346, 684, 276, 458, 437 is 623254644.
2. How to calculate the LCM of 346, 684, 276, 458, 437?
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 346, 684, 276, 458, 437.
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}.