Find the LCM of 724, 932, 630, 548, 569 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 724, 932, 630, 548, 569. So, keep reading to learn more.
Given numbers are 724,932,630,548,569
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,932,630,548,569 is 4142264954940.
Find LCM of 724,932,630,548,569 with Prime Factorization
2 | 724, 932, 630, 548, 569 |
2 | 362, 466, 315, 274, 569 |
181, 233, 315, 137, 569 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 181 x 233 x 315 x 137 x 569 = 4142264954940
Therefore, the lowest common multiple of 724,932,630,548,569 is 4142264954940.
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.
724 x 932 x 630 x 548 x 569 = 132552478558080
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.
724 : 1, 2, 4, 181, 362, 724
932 : 1, 2, 4, 233, 466, 932
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
548 : 1, 2, 4, 137, 274, 548
569 : 1, 569
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,932,630,548,569, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
932:2x 2x 233
630:2x 3x 3x 5x 7
548:2x 2x 137
569:569
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 2x 2x 2 = 32
Therefore, the value for common factors is 32.
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 = 132552478558080/(1x32)
LCM = 132552478558080/32
LCM = 4142264954940
Thus, we can understand that the LCM of 724,932,630,548,569 is 4142264954940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 724, 932, 630, 548, 569?
Answer: LCM of 724, 932, 630, 548, 569 is 4142264954940.
2. How to calculate the LCM of 724, 932, 630, 548, 569?
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 724, 932, 630, 548, 569.
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}.