Find the LCM of 758, 690, 427, 427, 965 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 758, 690, 427, 427, 965. So, keep reading to learn more.
Given numbers are 758,690,427,427,965
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 758,690,427,427,965 is 21551300610.
Find LCM of 758,690,427,427,965 with Prime Factorization
2 | 758, 690, 427, 427, 965 |
5 | 379, 345, 427, 427, 965 |
7 | 379, 69, 427, 427, 193 |
61 | 379, 69, 61, 61, 193 |
379, 69, 1, 1, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 61 x 379 x 69 x 1 x 1 x 193 = 21551300610
Therefore, the lowest common multiple of 758,690,427,427,965 is 21551300610.
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.
758 x 690 x 427 x 427 x 965 = 92024053604700
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.
758 : 1, 2, 379, 758
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
427 : 1, 7, 61, 427
427 : 1, 7, 61, 427
965 : 1, 5, 193, 965
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 758,690,427,427,965, is 1.
Now, the common factors can be found like this.
758:2x 379
690:2x 3x 5x 23
427:7x 61
427:7x 61
965:5x 193
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 61 = 4270
Therefore, the value for common factors is 4270.
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 = 92024053604700/(1x4270)
LCM = 92024053604700/4270
LCM = 21551300610
Thus, we can understand that the LCM of 758,690,427,427,965 is 21551300610.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 758, 690, 427, 427, 965?
Answer: LCM of 758, 690, 427, 427, 965 is 21551300610.
2. How to calculate the LCM of 758, 690, 427, 427, 965?
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 758, 690, 427, 427, 965.
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}.