Find the LCM of 402, 963, 279, 669, 731 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 402, 963, 279, 669, 731. So, keep reading to learn more.
Given numbers are 402,963,279,669,731
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 402,963,279,669,731 is 652101229926.
Find LCM of 402,963,279,669,731 with Prime Factorization
3 | 402, 963, 279, 669, 731 |
3 | 134, 321, 93, 223, 731 |
134, 107, 31, 223, 731 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 134 x 107 x 31 x 223 x 731 = 652101229926
Therefore, the lowest common multiple of 402,963,279,669,731 is 652101229926.
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.
402 x 963 x 279 x 669 x 731 = 52820199624006
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.
402 : 1, 2, 3, 6, 67, 134, 201, 402
963 : 1, 3, 9, 107, 321, 963
279 : 1, 3, 9, 31, 93, 279
669 : 1, 3, 223, 669
731 : 1, 17, 43, 731
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,963,279,669,731, is 1.
Now, the common factors can be found like this.
402:2x 3x 67
963:3x 3x 107
279:3x 3x 31
669:3x 223
731:17x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3 = 81
Therefore, the value for common factors is 81.
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 = 52820199624006/(1x81)
LCM = 52820199624006/81
LCM = 652101229926
Thus, we can understand that the LCM of 402,963,279,669,731 is 652101229926.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 402, 963, 279, 669, 731?
Answer: LCM of 402, 963, 279, 669, 731 is 652101229926.
2. How to calculate the LCM of 402, 963, 279, 669, 731?
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 402, 963, 279, 669, 731.
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}.