Find the LCM of 698, 503, 970, 375, 263 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 698, 503, 970, 375, 263. So, keep reading to learn more.
Given numbers are 698,503,970,375,263
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 698,503,970,375,263 is 3358784637750.
Find LCM of 698,503,970,375,263 with Prime Factorization
2 | 698, 503, 970, 375, 263 |
5 | 349, 503, 485, 375, 263 |
349, 503, 97, 75, 263 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 349 x 503 x 97 x 75 x 263 = 3358784637750
Therefore, the lowest common multiple of 698,503,970,375,263 is 3358784637750.
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.
698 x 503 x 970 x 375 x 263 = 33587846377500
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.
698 : 1, 2, 349, 698
503 : 1, 503
970 : 1, 2, 5, 10, 97, 194, 485, 970
375 : 1, 3, 5, 15, 25, 75, 125, 375
263 : 1, 263
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,503,970,375,263, is 1.
Now, the common factors can be found like this.
698:2x 349
503:503
970:2x 5x 97
375:3x 5x 5x 5
263:263
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 33587846377500/(1x10)
LCM = 33587846377500/10
LCM = 3358784637750
Thus, we can understand that the LCM of 698,503,970,375,263 is 3358784637750.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 698, 503, 970, 375, 263?
Answer: LCM of 698, 503, 970, 375, 263 is 3358784637750.
2. How to calculate the LCM of 698, 503, 970, 375, 263?
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 698, 503, 970, 375, 263.
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}.