LCM of 661, 813, 426, 780, 123
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 661, 813, 426, 780, 123 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 661, 813, 426, 780, 123. So, keep reading to learn more.
Given numbers are 661,813,426,780,123
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 661,813,426,780,123 is 406731265980.
Find LCM of 661,813,426,780,123 with Prime Factorization
| 2 | 661, 813, 426, 780, 123 |
| 3 | 661, 813, 213, 390, 123 |
| 661, 271, 71, 130, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 661 x 271 x 71 x 130 x 41 = 406731265980
Therefore, the lowest common multiple of 661,813,426,780,123 is 406731265980.
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.
661 x 813 x 426 x 780 x 123 = 21963488362920
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.
661 : 1, 661
813 : 1, 3, 271, 813
426 : 1, 2, 3, 6, 71, 142, 213, 426
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
123 : 1, 3, 41, 123
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 661,813,426,780,123, is 1.
Now, the common factors can be found like this.
661:661
813:3x 271
426:2x 3x 71
780:2x 2x 3x 5x 13
123:3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3 = 54
Therefore, the value for common factors is 54.
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 = 21963488362920/(1x54)
LCM = 21963488362920/54
LCM = 406731265980
Thus, we can understand that the LCM of 661,813,426,780,123 is 406731265980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 661, 813, 426, 780, 123
1. What is the LCM of 661, 813, 426, 780, 123?
Answer: LCM of 661, 813, 426, 780, 123 is 406731265980.
2. How to calculate the LCM of 661, 813, 426, 780, 123?
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 661, 813, 426, 780, 123.
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}.