Find the LCM of 418, 292, 665, 355, 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 418, 292, 665, 355, 602. So, keep reading to learn more.
Given numbers are 418,292,665,355,602
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,292,665,355,602 is 6521146940.
Find LCM of 418,292,665,355,602 with Prime Factorization
2 | 418, 292, 665, 355, 602 |
5 | 209, 146, 665, 355, 301 |
7 | 209, 146, 133, 71, 301 |
19 | 209, 146, 19, 71, 43 |
11, 146, 1, 71, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 19 x 11 x 146 x 1 x 71 x 43 = 6521146940
Therefore, the lowest common multiple of 418,292,665,355,602 is 6521146940.
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.
418 x 292 x 665 x 355 x 602 = 17346250860400
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
292 : 1, 2, 4, 73, 146, 292
665 : 1, 5, 7, 19, 35, 95, 133, 665
355 : 1, 5, 71, 355
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 418,292,665,355,602, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
292:2x 2x 73
665:5x 7x 19
355:5x 71
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 5x 7x 19 = 2660
Therefore, the value for common factors is 2660.
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 = 17346250860400/(1x2660)
LCM = 17346250860400/2660
LCM = 6521146940
Thus, we can understand that the LCM of 418,292,665,355,602 is 6521146940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 418, 292, 665, 355, 602?
Answer: LCM of 418, 292, 665, 355, 602 is 6521146940.
2. How to calculate the LCM of 418, 292, 665, 355, 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 418, 292, 665, 355, 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}.