LCM of 277, 350, 406, 725, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 277, 350, 406, 725, 972 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 277, 350, 406, 725, 972. So, keep reading to learn more.
Given numbers are 277,350,406,725,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 277,350,406,725,972 is 1366413300.
Find LCM of 277,350,406,725,972 with Prime Factorization
| 2 | 277, 350, 406, 725, 972 |
| 5 | 277, 175, 203, 725, 486 |
| 5 | 277, 35, 203, 145, 486 |
| 7 | 277, 7, 203, 29, 486 |
| 29 | 277, 1, 29, 29, 486 |
| 277, 1, 1, 1, 486 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 7 x 29 x 277 x 1 x 1 x 1 x 486 = 1366413300
Therefore, the lowest common multiple of 277,350,406,725,972 is 1366413300.
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.
277 x 350 x 406 x 725 x 972 = 27738189990000
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.
277 : 1, 277
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
406 : 1, 2, 7, 14, 29, 58, 203, 406
725 : 1, 5, 25, 29, 145, 725
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 277,350,406,725,972, is 1.
Now, the common factors can be found like this.
277:277
350:2x 5x 5x 7
406:2x 7x 29
725:5x 5x 29
972:2x 2x 3x 3x 3x 3x 3
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 5x 7x 29 = 20300
Therefore, the value for common factors is 20300.
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 = 27738189990000/(1x20300)
LCM = 27738189990000/20300
LCM = 1366413300
Thus, we can understand that the LCM of 277,350,406,725,972 is 1366413300.
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FAQs on LCM of 277, 350, 406, 725, 972
1. What is the LCM of 277, 350, 406, 725, 972?
Answer: LCM of 277, 350, 406, 725, 972 is 1366413300.
2. How to calculate the LCM of 277, 350, 406, 725, 972?
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 277, 350, 406, 725, 972.
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}.