LCM of 713, 930, 972, 570, 461
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 713, 930, 972, 570, 461 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 713, 930, 972, 570, 461. So, keep reading to learn more.
Given numbers are 713,930,972,570,461
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 713,930,972,570,461 is 30351511620.
Find LCM of 713,930,972,570,461 with Prime Factorization
| 2 | 713, 930, 972, 570, 461 |
| 3 | 713, 465, 486, 285, 461 |
| 5 | 713, 155, 162, 95, 461 |
| 31 | 713, 31, 162, 19, 461 |
| 23, 1, 162, 19, 461 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 31 x 23 x 1 x 162 x 19 x 461 = 30351511620
Therefore, the lowest common multiple of 713,930,972,570,461 is 30351511620.
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.
713 x 930 x 972 x 570 x 461 = 169361434839600
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.
713 : 1, 23, 31, 713
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
461 : 1, 461
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,930,972,570,461, is 1.
Now, the common factors can be found like this.
713:23x 31
930:2x 3x 5x 31
972:2x 2x 3x 3x 3x 3x 3
570:2x 3x 5x 19
461:461
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 3x 3x 5x 31 = 5580
Therefore, the value for common factors is 5580.
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 = 169361434839600/(1x5580)
LCM = 169361434839600/5580
LCM = 30351511620
Thus, we can understand that the LCM of 713,930,972,570,461 is 30351511620.
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FAQs on LCM of 713, 930, 972, 570, 461
1. What is the LCM of 713, 930, 972, 570, 461?
Answer: LCM of 713, 930, 972, 570, 461 is 30351511620.
2. How to calculate the LCM of 713, 930, 972, 570, 461?
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 713, 930, 972, 570, 461.
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}.