Find the LCM of 674, 429, 605, 578, 142 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 674, 429, 605, 578, 142. So, keep reading to learn more.
Given numbers are 674,429,605,578,142
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 674,429,605,578,142 is 326314272570.
Find LCM of 674,429,605,578,142 with Prime Factorization
2 | 674, 429, 605, 578, 142 |
11 | 337, 429, 605, 289, 71 |
337, 39, 55, 289, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 337 x 39 x 55 x 289 x 71 = 326314272570
Therefore, the lowest common multiple of 674,429,605,578,142 is 326314272570.
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.
674 x 429 x 605 x 578 x 142 = 14357827993080
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.
674 : 1, 2, 337, 674
429 : 1, 3, 11, 13, 33, 39, 143, 429
605 : 1, 5, 11, 55, 121, 605
578 : 1, 2, 17, 34, 289, 578
142 : 1, 2, 71, 142
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,429,605,578,142, is 1.
Now, the common factors can be found like this.
674:2x 337
429:3x 11x 13
605:5x 11x 11
578:2x 17x 17
142:2x 71
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 11 = 44
Therefore, the value for common factors is 44.
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 = 14357827993080/(1x44)
LCM = 14357827993080/44
LCM = 326314272570
Thus, we can understand that the LCM of 674,429,605,578,142 is 326314272570.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 674, 429, 605, 578, 142?
Answer: LCM of 674, 429, 605, 578, 142 is 326314272570.
2. How to calculate the LCM of 674, 429, 605, 578, 142?
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 674, 429, 605, 578, 142.
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}.