Find the LCM of 209, 724, 418, 757, 532 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 209, 724, 418, 757, 532. So, keep reading to learn more.
Given numbers are 209,724,418,757,532
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 209,724,418,757,532 is 801823484.
Find LCM of 209,724,418,757,532 with Prime Factorization
2 | 209, 724, 418, 757, 532 |
2 | 209, 362, 209, 757, 266 |
11 | 209, 181, 209, 757, 133 |
19 | 19, 181, 19, 757, 133 |
1, 181, 1, 757, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 19 x 1 x 181 x 1 x 757 x 7 = 801823484
Therefore, the lowest common multiple of 209,724,418,757,532 is 801823484.
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.
209 x 724 x 418 x 757 x 532 = 25472328439712
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.
209 : 1, 11, 19, 209
724 : 1, 2, 4, 181, 362, 724
418 : 1, 2, 11, 19, 22, 38, 209, 418
757 : 1, 757
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,724,418,757,532, is 1.
Now, the common factors can be found like this.
209:11x 19
724:2x 2x 181
418:2x 11x 19
757:757
532:2x 2x 7x 19
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 11x 19x 19 = 31768
Therefore, the value for common factors is 31768.
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 = 25472328439712/(1x31768)
LCM = 25472328439712/31768
LCM = 801823484
Thus, we can understand that the LCM of 209,724,418,757,532 is 801823484.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 209, 724, 418, 757, 532?
Answer: LCM of 209, 724, 418, 757, 532 is 801823484.
2. How to calculate the LCM of 209, 724, 418, 757, 532?
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 209, 724, 418, 757, 532.
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}.