LCM of 657, 756, 732, 292, 587
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 657, 756, 732, 292, 587 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 657, 756, 732, 292, 587. So, keep reading to learn more.
Given numbers are 657,756,732,292,587
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 657,756,732,292,587 is 1976116716.
Find LCM of 657,756,732,292,587 with Prime Factorization
| 2 | 657, 756, 732, 292, 587 |
| 2 | 657, 378, 366, 146, 587 |
| 3 | 657, 189, 183, 73, 587 |
| 3 | 219, 63, 61, 73, 587 |
| 73 | 73, 21, 61, 73, 587 |
| 1, 21, 61, 1, 587 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 73 x 1 x 21 x 61 x 1 x 587 = 1976116716
Therefore, the lowest common multiple of 657,756,732,292,587 is 1976116716.
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.
657 x 756 x 732 x 292 x 587 = 62318816755776
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.
657 : 1, 3, 9, 73, 219, 657
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
292 : 1, 2, 4, 73, 146, 292
587 : 1, 587
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,756,732,292,587, is 1.
Now, the common factors can be found like this.
657:3x 3x 73
756:2x 2x 3x 3x 3x 7
732:2x 2x 3x 61
292:2x 2x 73
587:587
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 3x 3x 3x 73 = 31536
Therefore, the value for common factors is 31536.
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 = 62318816755776/(1x31536)
LCM = 62318816755776/31536
LCM = 1976116716
Thus, we can understand that the LCM of 657,756,732,292,587 is 1976116716.
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FAQs on LCM of 657, 756, 732, 292, 587
1. What is the LCM of 657, 756, 732, 292, 587?
Answer: LCM of 657, 756, 732, 292, 587 is 1976116716.
2. How to calculate the LCM of 657, 756, 732, 292, 587?
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 657, 756, 732, 292, 587.
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}.