LCM of 989, 418, 946, 597, 332
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 989, 418, 946, 597, 332 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 989, 418, 946, 597, 332. So, keep reading to learn more.
Given numbers are 989,418,946,597,332
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,418,946,597,332 is 40968965004.
Find LCM of 989,418,946,597,332 with Prime Factorization
| 2 | 989, 418, 946, 597, 332 |
| 11 | 989, 209, 473, 597, 166 |
| 43 | 989, 19, 43, 597, 166 |
| 23, 19, 1, 597, 166 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 43 x 23 x 19 x 1 x 597 x 166 = 40968965004
Therefore, the lowest common multiple of 989,418,946,597,332 is 40968965004.
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.
989 x 418 x 946 x 597 x 332 = 77513281787568
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.
989 : 1, 23, 43, 989
418 : 1, 2, 11, 19, 22, 38, 209, 418
946 : 1, 2, 11, 22, 43, 86, 473, 946
597 : 1, 3, 199, 597
332 : 1, 2, 4, 83, 166, 332
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,418,946,597,332, is 1.
Now, the common factors can be found like this.
989:23x 43
418:2x 11x 19
946:2x 11x 43
597:3x 199
332:2x 2x 83
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 11x 43 = 1892
Therefore, the value for common factors is 1892.
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 = 77513281787568/(1x1892)
LCM = 77513281787568/1892
LCM = 40968965004
Thus, we can understand that the LCM of 989,418,946,597,332 is 40968965004.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 989, 418, 946, 597, 332
1. What is the LCM of 989, 418, 946, 597, 332?
Answer: LCM of 989, 418, 946, 597, 332 is 40968965004.
2. How to calculate the LCM of 989, 418, 946, 597, 332?
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 989, 418, 946, 597, 332.
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}.