Find the LCM of 542, 140, 471, 314, 965 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 542, 140, 471, 314, 965. So, keep reading to learn more.
Given numbers are 542,140,471,314,965
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 542,140,471,314,965 is 3448859820.
Find LCM of 542,140,471,314,965 with Prime Factorization
2 | 542, 140, 471, 314, 965 |
5 | 271, 70, 471, 157, 965 |
157 | 271, 14, 471, 157, 193 |
271, 14, 3, 1, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 157 x 271 x 14 x 3 x 1 x 193 = 3448859820
Therefore, the lowest common multiple of 542,140,471,314,965 is 3448859820.
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.
542 x 140 x 471 x 314 x 965 = 10829419834800
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.
542 : 1, 2, 271, 542
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
471 : 1, 3, 157, 471
314 : 1, 2, 157, 314
965 : 1, 5, 193, 965
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,140,471,314,965, is 1.
Now, the common factors can be found like this.
542:2x 271
140:2x 2x 5x 7
471:3x 157
314:2x 157
965:5x 193
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 157 = 3140
Therefore, the value for common factors is 3140.
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 = 10829419834800/(1x3140)
LCM = 10829419834800/3140
LCM = 3448859820
Thus, we can understand that the LCM of 542,140,471,314,965 is 3448859820.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 542, 140, 471, 314, 965?
Answer: LCM of 542, 140, 471, 314, 965 is 3448859820.
2. How to calculate the LCM of 542, 140, 471, 314, 965?
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 542, 140, 471, 314, 965.
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}.