LCM of 492, 165, 780, 649, 354
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 492, 165, 780, 649, 354 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 492, 165, 780, 649, 354. So, keep reading to learn more.
Given numbers are 492,165,780,649,354
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 492,165,780,649,354 is 20755020.
Find LCM of 492,165,780,649,354 with Prime Factorization
| 2 | 492, 165, 780, 649, 354 |
| 2 | 246, 165, 390, 649, 177 |
| 3 | 123, 165, 195, 649, 177 |
| 5 | 41, 55, 65, 649, 59 |
| 11 | 41, 11, 13, 649, 59 |
| 59 | 41, 1, 13, 59, 59 |
| 41, 1, 13, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 59 x 41 x 1 x 13 x 1 x 1 = 20755020
Therefore, the lowest common multiple of 492,165,780,649,354 is 20755020.
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.
492 x 165 x 780 x 649 x 354 = 14547608618400
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.
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
165 : 1, 3, 5, 11, 15, 33, 55, 165
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
649 : 1, 11, 59, 649
354 : 1, 2, 3, 6, 59, 118, 177, 354
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,165,780,649,354, is 1.
Now, the common factors can be found like this.
492:2x 2x 3x 41
165:3x 5x 11
780:2x 2x 3x 5x 13
649:11x 59
354:2x 3x 59
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 3x 3x 3x 5x 11x 59 = 700920
Therefore, the value for common factors is 700920.
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 = 14547608618400/(1x700920)
LCM = 14547608618400/700920
LCM = 20755020
Thus, we can understand that the LCM of 492,165,780,649,354 is 20755020.
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FAQs on LCM of 492, 165, 780, 649, 354
1. What is the LCM of 492, 165, 780, 649, 354?
Answer: LCM of 492, 165, 780, 649, 354 is 20755020.
2. How to calculate the LCM of 492, 165, 780, 649, 354?
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 492, 165, 780, 649, 354.
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}.