LCM of 963, 357, 133, 494
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 963, 357, 133, 494 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 963, 357, 133, 494. So, keep reading to learn more.
Given numbers are 963,357,133,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 963,357,133,494 is 56610918.
Find LCM of 963,357,133,494 with Prime Factorization
| 3 | 963, 357, 133, 494 |
| 7 | 321, 119, 133, 494 |
| 19 | 321, 17, 19, 494 |
| 321, 17, 1, 26 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 19 x 321 x 17 x 1 x 26 = 56610918
Therefore, the lowest common multiple of 963,357,133,494 is 56610918.
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.
963 x 357 x 133 x 494 = 22587756282
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.
963 : 1, 3, 9, 107, 321, 963
357 : 1, 3, 7, 17, 21, 51, 119, 357
133 : 1, 7, 19, 133
494 : 1, 2, 13, 19, 26, 38, 247, 494
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,357,133,494, is 1.
Now, the common factors can be found like this.
963:3x 3x 107
357:3x 7x 17
133:7x 19
494:2x 13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 19 = 399
Therefore, the value for common factors is 399.
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 = 22587756282/(1x399)
LCM = 22587756282/399
LCM = 56610918
Thus, we can understand that the LCM of 963,357,133,494 is 56610918.
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FAQs on LCM of 963, 357, 133, 494
1. What is the LCM of 963, 357, 133, 494?
Answer: LCM of 963, 357, 133, 494 is 56610918.
2. How to calculate the LCM of 963, 357, 133, 494?
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 963, 357, 133, 494.
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}.