LCM of 612, 558, 769, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 612, 558, 769, 684 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 612, 558, 769, 684. So, keep reading to learn more.
Given numbers are 612,558,769,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 612,558,769,684 is 277199892.
Find LCM of 612,558,769,684 with Prime Factorization
| 2 | 612, 558, 769, 684 |
| 2 | 306, 279, 769, 342 |
| 3 | 153, 279, 769, 171 |
| 3 | 51, 93, 769, 57 |
| 17, 31, 769, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 17 x 31 x 769 x 19 = 277199892
Therefore, the lowest common multiple of 612,558,769,684 is 277199892.
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.
612 x 558 x 769 x 684 = 179625530016
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.
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
769 : 1, 769
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,558,769,684, is 1.
Now, the common factors can be found like this.
612:2x 2x 3x 3x 17
558:2x 3x 3x 31
769:769
684:2x 2x 3x 3x 19
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 3x 3x 3x 3 = 648
Therefore, the value for common factors is 648.
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 = 179625530016/(1x648)
LCM = 179625530016/648
LCM = 277199892
Thus, we can understand that the LCM of 612,558,769,684 is 277199892.
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FAQs on LCM of 612, 558, 769, 684
1. What is the LCM of 612, 558, 769, 684?
Answer: LCM of 612, 558, 769, 684 is 277199892.
2. How to calculate the LCM of 612, 558, 769, 684?
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 612, 558, 769, 684.
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}.