LCM of 605, 105, 712, 730, 294
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 605, 105, 712, 730, 294 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 605, 105, 712, 730, 294. So, keep reading to learn more.
Given numbers are 605,105,712,730,294
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,105,712,730,294 is 4622485560.
Find LCM of 605,105,712,730,294 with Prime Factorization
| 2 | 605, 105, 712, 730, 294 |
| 3 | 605, 105, 356, 365, 147 |
| 5 | 605, 35, 356, 365, 49 |
| 7 | 121, 7, 356, 73, 49 |
| 121, 1, 356, 73, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 121 x 1 x 356 x 73 x 7 = 4622485560
Therefore, the lowest common multiple of 605,105,712,730,294 is 4622485560.
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.
605 x 105 x 712 x 730 x 294 = 9707219676000
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.
605 : 1, 5, 11, 55, 121, 605
105 : 1, 3, 5, 7, 15, 21, 35, 105
712 : 1, 2, 4, 8, 89, 178, 356, 712
730 : 1, 2, 5, 10, 73, 146, 365, 730
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,105,712,730,294, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
105:3x 5x 7
712:2x 2x 2x 89
730:2x 5x 73
294:2x 3x 7x 7
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 5x 5x 7 = 2100
Therefore, the value for common factors is 2100.
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 = 9707219676000/(1x2100)
LCM = 9707219676000/2100
LCM = 4622485560
Thus, we can understand that the LCM of 605,105,712,730,294 is 4622485560.
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FAQs on LCM of 605, 105, 712, 730, 294
1. What is the LCM of 605, 105, 712, 730, 294?
Answer: LCM of 605, 105, 712, 730, 294 is 4622485560.
2. How to calculate the LCM of 605, 105, 712, 730, 294?
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 605, 105, 712, 730, 294.
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}.