LCM of 491, 972, 414, 336, 690
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 491, 972, 414, 336, 690 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 491, 972, 414, 336, 690. So, keep reading to learn more.
Given numbers are 491,972,414,336,690
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 491,972,414,336,690 is 1536751440.
Find LCM of 491,972,414,336,690 with Prime Factorization
| 2 | 491, 972, 414, 336, 690 |
| 2 | 491, 486, 207, 168, 345 |
| 3 | 491, 243, 207, 84, 345 |
| 3 | 491, 81, 69, 28, 115 |
| 23 | 491, 27, 23, 28, 115 |
| 491, 27, 1, 28, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 23 x 491 x 27 x 1 x 28 x 5 = 1536751440
Therefore, the lowest common multiple of 491,972,414,336,690 is 1536751440.
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.
491 x 972 x 414 x 336 x 690 = 45807486923520
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.
491 : 1, 491
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,972,414,336,690, is 1.
Now, the common factors can be found like this.
491:491
972:2x 2x 3x 3x 3x 3x 3
414:2x 3x 3x 23
336:2x 2x 2x 2x 3x 7
690:2x 3x 5x 23
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 2x 2x 3x 3x 3x 3x 23 = 29808
Therefore, the value for common factors is 29808.
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 = 45807486923520/(1x29808)
LCM = 45807486923520/29808
LCM = 1536751440
Thus, we can understand that the LCM of 491,972,414,336,690 is 1536751440.
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FAQs on LCM of 491, 972, 414, 336, 690
1. What is the LCM of 491, 972, 414, 336, 690?
Answer: LCM of 491, 972, 414, 336, 690 is 1536751440.
2. How to calculate the LCM of 491, 972, 414, 336, 690?
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 491, 972, 414, 336, 690.
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}.