Find the LCM of 409, 624, 279, 141, 608 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 409, 624, 279, 141, 608. So, keep reading to learn more.
Given numbers are 409,624,279,141,608
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,624,279,141,608 is 42390867168.
Find LCM of 409,624,279,141,608 with Prime Factorization
2 | 409, 624, 279, 141, 608 |
2 | 409, 312, 279, 141, 304 |
2 | 409, 156, 279, 141, 152 |
2 | 409, 78, 279, 141, 76 |
3 | 409, 39, 279, 141, 38 |
409, 13, 93, 47, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 409 x 13 x 93 x 47 x 38 = 42390867168
Therefore, the lowest common multiple of 409,624,279,141,608 is 42390867168.
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.
409 x 624 x 279 x 141 x 608 = 6104284872192
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.
409 : 1, 409
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
279 : 1, 3, 9, 31, 93, 279
141 : 1, 3, 47, 141
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,624,279,141,608, is 1.
Now, the common factors can be found like this.
409:409
624:2x 2x 2x 2x 3x 13
279:3x 3x 31
141:3x 47
608:2x 2x 2x 2x 2x 19
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 3 = 144
Therefore, the value for common factors is 144.
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 = 6104284872192/(1x144)
LCM = 6104284872192/144
LCM = 42390867168
Thus, we can understand that the LCM of 409,624,279,141,608 is 42390867168.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 409, 624, 279, 141, 608?
Answer: LCM of 409, 624, 279, 141, 608 is 42390867168.
2. How to calculate the LCM of 409, 624, 279, 141, 608?
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 409, 624, 279, 141, 608.
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}.