Find the LCM of 141, 673, 673, 492, 334 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 141, 673, 673, 492, 334. So, keep reading to learn more.
Given numbers are 141,673,673,492,334
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 141,673,673,492,334 is 2598929484.
Find LCM of 141,673,673,492,334 with Prime Factorization
2 | 141, 673, 673, 492, 334 |
3 | 141, 673, 673, 246, 167 |
673 | 47, 673, 673, 82, 167 |
47, 1, 1, 82, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 673 x 47 x 1 x 1 x 82 x 167 = 2598929484
Therefore, the lowest common multiple of 141,673,673,492,334 is 2598929484.
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.
141 x 673 x 673 x 492 x 334 = 10494477256392
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.
141 : 1, 3, 47, 141
673 : 1, 673
673 : 1, 673
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
334 : 1, 2, 167, 334
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 141,673,673,492,334, is 1.
Now, the common factors can be found like this.
141:3x 47
673:673
673:673
492:2x 2x 3x 41
334:2x 167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 673 = 4038
Therefore, the value for common factors is 4038.
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 = 10494477256392/(1x4038)
LCM = 10494477256392/4038
LCM = 2598929484
Thus, we can understand that the LCM of 141,673,673,492,334 is 2598929484.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 141, 673, 673, 492, 334?
Answer: LCM of 141, 673, 673, 492, 334 is 2598929484.
2. How to calculate the LCM of 141, 673, 673, 492, 334?
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 141, 673, 673, 492, 334.
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}.