Find the LCM of 969, 835, 544, 398, 602 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 969, 835, 544, 398, 602. So, keep reading to learn more.
Given numbers are 969,835,544,398,602
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,835,544,398,602 is 1550885740320.
Find LCM of 969,835,544,398,602 with Prime Factorization
2 | 969, 835, 544, 398, 602 |
17 | 969, 835, 272, 199, 301 |
57, 835, 16, 199, 301 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 57 x 835 x 16 x 199 x 301 = 1550885740320
Therefore, the lowest common multiple of 969,835,544,398,602 is 1550885740320.
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.
969 x 835 x 544 x 398 x 602 = 105460230341760
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.
969 : 1, 3, 17, 19, 51, 57, 323, 969
835 : 1, 5, 167, 835
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
398 : 1, 2, 199, 398
602 : 1, 2, 7, 14, 43, 86, 301, 602
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,835,544,398,602, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
835:5x 167
544:2x 2x 2x 2x 2x 17
398:2x 199
602:2x 7x 43
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 17 = 68
Therefore, the value for common factors is 68.
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 = 105460230341760/(1x68)
LCM = 105460230341760/68
LCM = 1550885740320
Thus, we can understand that the LCM of 969,835,544,398,602 is 1550885740320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 969, 835, 544, 398, 602?
Answer: LCM of 969, 835, 544, 398, 602 is 1550885740320.
2. How to calculate the LCM of 969, 835, 544, 398, 602?
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 969, 835, 544, 398, 602.
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}.