Find the LCM of 697, 969, 978, 758, 410 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 697, 969, 978, 758, 410. So, keep reading to learn more.
Given numbers are 697,969,978,758,410
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,969,978,758,410 is 24543384330.
Find LCM of 697,969,978,758,410 with Prime Factorization
2 | 697, 969, 978, 758, 410 |
3 | 697, 969, 489, 379, 205 |
17 | 697, 323, 163, 379, 205 |
41 | 41, 19, 163, 379, 205 |
1, 19, 163, 379, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 41 x 1 x 19 x 163 x 379 x 5 = 24543384330
Therefore, the lowest common multiple of 697,969,978,758,410 is 24543384330.
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.
697 x 969 x 978 x 758 x 410 = 205280866536120
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.
697 : 1, 17, 41, 697
969 : 1, 3, 17, 19, 51, 57, 323, 969
978 : 1, 2, 3, 6, 163, 326, 489, 978
758 : 1, 2, 379, 758
410 : 1, 2, 5, 10, 41, 82, 205, 410
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,969,978,758,410, is 1.
Now, the common factors can be found like this.
697:17x 41
969:3x 17x 19
978:2x 3x 163
758:2x 379
410:2x 5x 41
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 3x 17x 41 = 8364
Therefore, the value for common factors is 8364.
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 = 205280866536120/(1x8364)
LCM = 205280866536120/8364
LCM = 24543384330
Thus, we can understand that the LCM of 697,969,978,758,410 is 24543384330.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 697, 969, 978, 758, 410?
Answer: LCM of 697, 969, 978, 758, 410 is 24543384330.
2. How to calculate the LCM of 697, 969, 978, 758, 410?
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 697, 969, 978, 758, 410.
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}.