LCM of 605, 182, 247, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 605, 182, 247, 969 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 605, 182, 247, 969. So, keep reading to learn more.
Given numbers are 605,182,247,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,182,247,969 is 106696590.
Find LCM of 605,182,247,969 with Prime Factorization
| 13 | 605, 182, 247, 969 |
| 19 | 605, 14, 19, 969 |
| 605, 14, 1, 51 |
Multiply the prime numbers at the bottom and the left side.
13 x 19 x 605 x 14 x 1 x 51 = 106696590
Therefore, the lowest common multiple of 605,182,247,969 is 106696590.
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.
605 x 182 x 247 x 969 = 26354057730
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.
605 : 1, 5, 11, 55, 121, 605
182 : 1, 2, 7, 13, 14, 26, 91, 182
247 : 1, 13, 19, 247
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,182,247,969, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
182:2x 7x 13
247:13x 19
969:3x 17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 19 = 247
Therefore, the value for common factors is 247.
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 = 26354057730/(1x247)
LCM = 26354057730/247
LCM = 106696590
Thus, we can understand that the LCM of 605,182,247,969 is 106696590.
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FAQs on LCM of 605, 182, 247, 969
1. What is the LCM of 605, 182, 247, 969?
Answer: LCM of 605, 182, 247, 969 is 106696590.
2. How to calculate the LCM of 605, 182, 247, 969?
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 605, 182, 247, 969.
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}.