LCM of 330, 686, 571, 847, 624
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 330, 686, 571, 847, 624 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 330, 686, 571, 847, 624. So, keep reading to learn more.
Given numbers are 330,686,571,847,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,686,571,847,624 is 73938424560.
Find LCM of 330,686,571,847,624 with Prime Factorization
| 2 | 330, 686, 571, 847, 624 |
| 3 | 165, 343, 571, 847, 312 |
| 7 | 55, 343, 571, 847, 104 |
| 11 | 55, 49, 571, 121, 104 |
| 5, 49, 571, 11, 104 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 5 x 49 x 571 x 11 x 104 = 73938424560
Therefore, the lowest common multiple of 330,686,571,847,624 is 73938424560.
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.
330 x 686 x 571 x 847 x 624 = 68319104293440
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.
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
686 : 1, 2, 7, 14, 49, 98, 343, 686
571 : 1, 571
847 : 1, 7, 11, 77, 121, 847
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,686,571,847,624, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
686:2x 7x 7x 7
571:571
847:7x 11x 11
624:2x 2x 2x 2x 3x 13
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 7x 11 = 924
Therefore, the value for common factors is 924.
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 = 68319104293440/(1x924)
LCM = 68319104293440/924
LCM = 73938424560
Thus, we can understand that the LCM of 330,686,571,847,624 is 73938424560.
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FAQs on LCM of 330, 686, 571, 847, 624
1. What is the LCM of 330, 686, 571, 847, 624?
Answer: LCM of 330, 686, 571, 847, 624 is 73938424560.
2. How to calculate the LCM of 330, 686, 571, 847, 624?
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 330, 686, 571, 847, 624.
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}.