LCM of 588, 680, 856, 616, 697
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 588, 680, 856, 616, 697 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 588, 680, 856, 616, 697. So, keep reading to learn more.
Given numbers are 588,680,856,616,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 588,680,856,616,697 is 4823769720.
Find LCM of 588,680,856,616,697 with Prime Factorization
| 2 | 588, 680, 856, 616, 697 |
| 2 | 294, 340, 428, 308, 697 |
| 2 | 147, 170, 214, 154, 697 |
| 7 | 147, 85, 107, 77, 697 |
| 17 | 21, 85, 107, 11, 697 |
| 21, 5, 107, 11, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 17 x 21 x 5 x 107 x 11 x 41 = 4823769720
Therefore, the lowest common multiple of 588,680,856,616,697 is 4823769720.
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.
588 x 680 x 856 x 616 x 697 = 146951320750080
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.
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
856 : 1, 2, 4, 8, 107, 214, 428, 856
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 588,680,856,616,697, is 1.
Now, the common factors can be found like this.
588:2x 2x 3x 7x 7
680:2x 2x 2x 5x 17
856:2x 2x 2x 107
616:2x 2x 2x 7x 11
697:17x 41
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 2x 2x 7x 17 = 30464
Therefore, the value for common factors is 30464.
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 = 146951320750080/(1x30464)
LCM = 146951320750080/30464
LCM = 4823769720
Thus, we can understand that the LCM of 588,680,856,616,697 is 4823769720.
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FAQs on LCM of 588, 680, 856, 616, 697
1. What is the LCM of 588, 680, 856, 616, 697?
Answer: LCM of 588, 680, 856, 616, 697 is 4823769720.
2. How to calculate the LCM of 588, 680, 856, 616, 697?
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 588, 680, 856, 616, 697.
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}.