Find the LCM of 970, 836, 365, 152, 248 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 970, 836, 365, 152, 248. So, keep reading to learn more.
Given numbers are 970,836,365,152,248
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 970,836,365,152,248 is 1835111960.
Find LCM of 970,836,365,152,248 with Prime Factorization
2 | 970, 836, 365, 152, 248 |
2 | 485, 418, 365, 76, 124 |
2 | 485, 209, 365, 38, 62 |
5 | 485, 209, 365, 19, 31 |
19 | 97, 209, 73, 19, 31 |
97, 11, 73, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 19 x 97 x 11 x 73 x 1 x 31 = 1835111960
Therefore, the lowest common multiple of 970,836,365,152,248 is 1835111960.
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.
970 x 836 x 365 x 152 x 248 = 11157480716800
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.
970 : 1, 2, 5, 10, 97, 194, 485, 970
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
365 : 1, 5, 73, 365
152 : 1, 2, 4, 8, 19, 38, 76, 152
248 : 1, 2, 4, 8, 31, 62, 124, 248
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,836,365,152,248, is 1.
Now, the common factors can be found like this.
970:2x 5x 97
836:2x 2x 11x 19
365:5x 73
152:2x 2x 2x 19
248:2x 2x 2x 31
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 2x 2x 2x 2x 5x 19 = 6080
Therefore, the value for common factors is 6080.
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 = 11157480716800/(1x6080)
LCM = 11157480716800/6080
LCM = 1835111960
Thus, we can understand that the LCM of 970,836,365,152,248 is 1835111960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 970, 836, 365, 152, 248?
Answer: LCM of 970, 836, 365, 152, 248 is 1835111960.
2. How to calculate the LCM of 970, 836, 365, 152, 248?
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 970, 836, 365, 152, 248.
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}.