LCM of 780, 496, 681, 681
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 780, 496, 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 780, 496, 681, 681. So, keep reading to learn more.
Given numbers are 780,496,681,681
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 780,496,681,681 is 21955440.
Find LCM of 780,496,681,681 with Prime Factorization
| 2 | 780, 496, 681, 681 |
| 2 | 390, 248, 681, 681 |
| 3 | 195, 124, 681, 681 |
| 227 | 65, 124, 227, 227 |
| 65, 124, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 227 x 65 x 124 x 1 x 1 = 21955440
Therefore, the lowest common multiple of 780,496,681,681 is 21955440.
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.
780 x 496 x 681 x 681 = 179419855680
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.
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
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
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 780,496,681,681, is 1.
Now, the common factors can be found like this.
780:2x 2x 3x 5x 13
496:2x 2x 2x 2x 31
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 3x 3x 227 = 8172
Therefore, the value for common factors is 8172.
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 = 179419855680/(1x8172)
LCM = 179419855680/8172
LCM = 21955440
Thus, we can understand that the LCM of 780,496,681,681 is 21955440.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 780, 496, 681, 681
1. What is the LCM of 780, 496, 681, 681?
Answer: LCM of 780, 496, 681, 681 is 21955440.
2. How to calculate the LCM of 780, 496, 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 780, 496, 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}.