Find the LCM of 346, 175, 541, 865, 520 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, 175, 541, 865, 520. So, keep reading to learn more.
Given numbers are 346,175,541,865,520
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 346,175,541,865,520 is 1703392600.
Find LCM of 346,175,541,865,520 with Prime Factorization
2 | 346, 175, 541, 865, 520 |
5 | 173, 175, 541, 865, 260 |
173 | 173, 35, 541, 173, 52 |
1, 35, 541, 1, 52 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 173 x 1 x 35 x 541 x 1 x 52 = 1703392600
Therefore, the lowest common multiple of 346,175,541,865,520 is 1703392600.
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 175 x 541 x 865 x 520 = 14734345990000
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
175 : 1, 5, 7, 25, 35, 175
541 : 1, 541
865 : 1, 5, 173, 865
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,175,541,865,520, is 1.
Now, the common factors can be found like this.
346:2x 173
175:5x 5x 7
541:541
865:5x 173
520:2x 2x 2x 5x 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 5x 5x 173 = 8650
Therefore, the value for common factors is 8650.
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 = 14734345990000/(1x8650)
LCM = 14734345990000/8650
LCM = 1703392600
Thus, we can understand that the LCM of 346,175,541,865,520 is 1703392600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 346, 175, 541, 865, 520?
Answer: LCM of 346, 175, 541, 865, 520 is 1703392600.
2. How to calculate the LCM of 346, 175, 541, 865, 520?
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, 175, 541, 865, 520.
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}.