LCM of 458, 220, 780, 681, 681
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 458, 220, 780, 681, 681 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 458, 220, 780, 681, 681. So, keep reading to learn more.
Given numbers are 458,220,780,681,681
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 458,220,780,681,681 is 446014140.
Find LCM of 458,220,780,681,681 with Prime Factorization
| 2 | 458, 220, 780, 681, 681 |
| 2 | 229, 110, 390, 681, 681 |
| 3 | 229, 55, 195, 681, 681 |
| 5 | 229, 55, 65, 227, 227 |
| 227 | 229, 11, 13, 227, 227 |
| 229, 11, 13, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 227 x 229 x 11 x 13 x 1 x 1 = 446014140
Therefore, the lowest common multiple of 458,220,780,681,681 is 446014140.
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.
458 x 220 x 780 x 681 x 681 = 36448275520800
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.
458 : 1, 2, 229, 458
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
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
681 : 1, 3, 227, 681
681 : 1, 3, 227, 681
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,220,780,681,681, is 1.
Now, the common factors can be found like this.
458:2x 229
220:2x 2x 5x 11
780:2x 2x 3x 5x 13
681:3x 227
681:3x 227
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 5x 227 = 81720
Therefore, the value for common factors is 81720.
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 = 36448275520800/(1x81720)
LCM = 36448275520800/81720
LCM = 446014140
Thus, we can understand that the LCM of 458,220,780,681,681 is 446014140.
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FAQs on LCM of 458, 220, 780, 681, 681
1. What is the LCM of 458, 220, 780, 681, 681?
Answer: LCM of 458, 220, 780, 681, 681 is 446014140.
2. How to calculate the LCM of 458, 220, 780, 681, 681?
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 458, 220, 780, 681, 681.
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}.