Find the LCM of 379, 221, 142, 149, 524 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 379, 221, 142, 149, 524. So, keep reading to learn more.
Given numbers are 379,221,142,149,524
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 379,221,142,149,524 is 464309305564.
Find LCM of 379,221,142,149,524 with Prime Factorization
2 | 379, 221, 142, 149, 524 |
379, 221, 71, 149, 262 |
Multiply the prime numbers at the bottom and the left side.
2 x 379 x 221 x 71 x 149 x 262 = 464309305564
Therefore, the lowest common multiple of 379,221,142,149,524 is 464309305564.
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.
379 x 221 x 142 x 149 x 524 = 928618611128
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.
379 : 1, 379
221 : 1, 13, 17, 221
142 : 1, 2, 71, 142
149 : 1, 149
524 : 1, 2, 4, 131, 262, 524
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,221,142,149,524, is 1.
Now, the common factors can be found like this.
379:379
221:13x 17
142:2x 71
149:149
524:2x 2x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 928618611128/(1x2)
LCM = 928618611128/2
LCM = 464309305564
Thus, we can understand that the LCM of 379,221,142,149,524 is 464309305564.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 379, 221, 142, 149, 524?
Answer: LCM of 379, 221, 142, 149, 524 is 464309305564.
2. How to calculate the LCM of 379, 221, 142, 149, 524?
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 379, 221, 142, 149, 524.
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}.