Find the LCM of 346, 760, 616, 399, 840 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, 760, 616, 399, 840. So, keep reading to learn more.
Given numbers are 346,760,616,399,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 346,760,616,399,840 is 30371880.
Find LCM of 346,760,616,399,840 with Prime Factorization
2 | 346, 760, 616, 399, 840 |
2 | 173, 380, 308, 399, 420 |
2 | 173, 190, 154, 399, 210 |
3 | 173, 95, 77, 399, 105 |
5 | 173, 95, 77, 133, 35 |
7 | 173, 19, 77, 133, 7 |
19 | 173, 19, 11, 19, 1 |
173, 1, 11, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 19 x 173 x 1 x 11 x 1 x 1 = 30371880
Therefore, the lowest common multiple of 346,760,616,399,840 is 30371880.
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 760 x 616 x 399 x 840 = 54290342937600
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
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
399 : 1, 3, 7, 19, 21, 57, 133, 399
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,760,616,399,840, is 1.
Now, the common factors can be found like this.
346:2x 173
760:2x 2x 2x 5x 19
616:2x 2x 2x 7x 11
399:3x 7x 19
840:2x 2x 2x 3x 5x 7
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 2x 2x 2x 3x 5x 7x 7x 19 = 1787520
Therefore, the value for common factors is 1787520.
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 = 54290342937600/(1x1787520)
LCM = 54290342937600/1787520
LCM = 30371880
Thus, we can understand that the LCM of 346,760,616,399,840 is 30371880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 346, 760, 616, 399, 840?
Answer: LCM of 346, 760, 616, 399, 840 is 30371880.
2. How to calculate the LCM of 346, 760, 616, 399, 840?
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, 760, 616, 399, 840.
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}.