LCM of 966, 402, 499, 575, 998
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 966, 402, 499, 575, 998 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 966, 402, 499, 575, 998. So, keep reading to learn more.
Given numbers are 966,402,499,575,998
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 966,402,499,575,998 is 807406950.
Find LCM of 966,402,499,575,998 with Prime Factorization
| 2 | 966, 402, 499, 575, 998 |
| 3 | 483, 201, 499, 575, 499 |
| 23 | 161, 67, 499, 575, 499 |
| 499 | 7, 67, 499, 25, 499 |
| 7, 67, 1, 25, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 499 x 7 x 67 x 1 x 25 x 1 = 807406950
Therefore, the lowest common multiple of 966,402,499,575,998 is 807406950.
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.
966 x 402 x 499 x 575 x 998 = 111199314781800
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.
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
402 : 1, 2, 3, 6, 67, 134, 201, 402
499 : 1, 499
575 : 1, 5, 23, 25, 115, 575
998 : 1, 2, 499, 998
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,402,499,575,998, is 1.
Now, the common factors can be found like this.
966:2x 3x 7x 23
402:2x 3x 67
499:499
575:5x 5x 23
998:2x 499
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 23x 499 = 137724
Therefore, the value for common factors is 137724.
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 = 111199314781800/(1x137724)
LCM = 111199314781800/137724
LCM = 807406950
Thus, we can understand that the LCM of 966,402,499,575,998 is 807406950.
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FAQs on LCM of 966, 402, 499, 575, 998
1. What is the LCM of 966, 402, 499, 575, 998?
Answer: LCM of 966, 402, 499, 575, 998 is 807406950.
2. How to calculate the LCM of 966, 402, 499, 575, 998?
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 966, 402, 499, 575, 998.
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}.