LCM of 969, 961, 300, 329, 423
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 969, 961, 300, 329, 423 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 969, 961, 300, 329, 423. So, keep reading to learn more.
Given numbers are 969,961,300,329,423
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,961,300,329,423 is 91910328300.
Find LCM of 969,961,300,329,423 with Prime Factorization
| 3 | 969, 961, 300, 329, 423 |
| 47 | 323, 961, 100, 329, 141 |
| 323, 961, 100, 7, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 47 x 323 x 961 x 100 x 7 x 3 = 91910328300
Therefore, the lowest common multiple of 969,961,300,329,423 is 91910328300.
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.
969 x 961 x 300 x 329 x 423 = 38878068870900
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.
969 : 1, 3, 17, 19, 51, 57, 323, 969
961 : 1, 31, 961
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
329 : 1, 7, 47, 329
423 : 1, 3, 9, 47, 141, 423
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,961,300,329,423, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
961:31x 31
300:2x 2x 3x 5x 5
329:7x 47
423:3x 3x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 47 = 423
Therefore, the value for common factors is 423.
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 = 38878068870900/(1x423)
LCM = 38878068870900/423
LCM = 91910328300
Thus, we can understand that the LCM of 969,961,300,329,423 is 91910328300.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 969, 961, 300, 329, 423
1. What is the LCM of 969, 961, 300, 329, 423?
Answer: LCM of 969, 961, 300, 329, 423 is 91910328300.
2. How to calculate the LCM of 969, 961, 300, 329, 423?
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 969, 961, 300, 329, 423.
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}.