LCM of 730, 416, 546, 624, 721
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 730, 416, 546, 624, 721 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 730, 416, 546, 624, 721. So, keep reading to learn more.
Given numbers are 730,416,546,624,721
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 730,416,546,624,721 is 328429920.
Find LCM of 730,416,546,624,721 with Prime Factorization
| 2 | 730, 416, 546, 624, 721 |
| 2 | 365, 208, 273, 312, 721 |
| 2 | 365, 104, 273, 156, 721 |
| 2 | 365, 52, 273, 78, 721 |
| 3 | 365, 26, 273, 39, 721 |
| 7 | 365, 26, 91, 13, 721 |
| 13 | 365, 26, 13, 13, 103 |
| 365, 2, 1, 1, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 13 x 365 x 2 x 1 x 1 x 103 = 328429920
Therefore, the lowest common multiple of 730,416,546,624,721 is 328429920.
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.
730 x 416 x 546 x 624 x 721 = 74598258309120
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.
730 : 1, 2, 5, 10, 73, 146, 365, 730
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
721 : 1, 7, 103, 721
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,416,546,624,721, is 1.
Now, the common factors can be found like this.
730:2x 5x 73
416:2x 2x 2x 2x 2x 13
546:2x 3x 7x 13
624:2x 2x 2x 2x 3x 13
721:7x 103
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 2x 2x 3x 7x 13x 13 = 227136
Therefore, the value for common factors is 227136.
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 = 74598258309120/(1x227136)
LCM = 74598258309120/227136
LCM = 328429920
Thus, we can understand that the LCM of 730,416,546,624,721 is 328429920.
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FAQs on LCM of 730, 416, 546, 624, 721
1. What is the LCM of 730, 416, 546, 624, 721?
Answer: LCM of 730, 416, 546, 624, 721 is 328429920.
2. How to calculate the LCM of 730, 416, 546, 624, 721?
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 730, 416, 546, 624, 721.
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}.