Find the LCM of 762, 271, 418, 339, 701 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 762, 271, 418, 339, 701. So, keep reading to learn more.
Given numbers are 762,271,418,339,701
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,271,418,339,701 is 3418747371534.
Find LCM of 762,271,418,339,701 with Prime Factorization
2 | 762, 271, 418, 339, 701 |
3 | 381, 271, 209, 339, 701 |
127, 271, 209, 113, 701 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 127 x 271 x 209 x 113 x 701 = 3418747371534
Therefore, the lowest common multiple of 762,271,418,339,701 is 3418747371534.
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.
762 x 271 x 418 x 339 x 701 = 20512484229204
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
271 : 1, 271
418 : 1, 2, 11, 19, 22, 38, 209, 418
339 : 1, 3, 113, 339
701 : 1, 701
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,271,418,339,701, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
271:271
418:2x 11x 19
339:3x 113
701:701
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 20512484229204/(1x6)
LCM = 20512484229204/6
LCM = 3418747371534
Thus, we can understand that the LCM of 762,271,418,339,701 is 3418747371534.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 762, 271, 418, 339, 701?
Answer: LCM of 762, 271, 418, 339, 701 is 3418747371534.
2. How to calculate the LCM of 762, 271, 418, 339, 701?
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 762, 271, 418, 339, 701.
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}.