Find the LCM of 145, 319, 542, 261 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 145, 319, 542, 261. So, keep reading to learn more.
Given numbers are 145,319,542,261
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 145,319,542,261 is 7780410.
Find LCM of 145,319,542,261 with Prime Factorization
29 | 145, 319, 542, 261 |
5, 11, 542, 9 |
Multiply the prime numbers at the bottom and the left side.
29 x 5 x 11 x 542 x 9 = 7780410
Therefore, the lowest common multiple of 145,319,542,261 is 7780410.
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.
145 x 319 x 542 x 261 = 6543324810
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.
145 : 1, 5, 29, 145
319 : 1, 11, 29, 319
542 : 1, 2, 271, 542
261 : 1, 3, 9, 29, 87, 261
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 145,319,542,261, is 1.
Now, the common factors can be found like this.
145:5x 29
319:11x 29
542:2x 271
261:3x 3x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
29x 29 = 841
Therefore, the value for common factors is 841.
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 = 6543324810/(1x841)
LCM = 6543324810/841
LCM = 7780410
Thus, we can understand that the LCM of 145,319,542,261 is 7780410.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 145, 319, 542, 261?
Answer: LCM of 145, 319, 542, 261 is 7780410.
2. How to calculate the LCM of 145, 319, 542, 261?
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 145, 319, 542, 261.
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}.