LCM of 698, 308, 856, 707, 390
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 698, 308, 856, 707, 390 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 698, 308, 856, 707, 390. So, keep reading to learn more.
Given numbers are 698,308,856,707,390
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 698,308,856,707,390 is 453049757160.
Find LCM of 698,308,856,707,390 with Prime Factorization
| 2 | 698, 308, 856, 707, 390 |
| 2 | 349, 154, 428, 707, 195 |
| 7 | 349, 77, 214, 707, 195 |
| 349, 11, 214, 101, 195 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 349 x 11 x 214 x 101 x 195 = 453049757160
Therefore, the lowest common multiple of 698,308,856,707,390 is 453049757160.
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.
698 x 308 x 856 x 707 x 390 = 50741572801920
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.
698 : 1, 2, 349, 698
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
856 : 1, 2, 4, 8, 107, 214, 428, 856
707 : 1, 7, 101, 707
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,308,856,707,390, is 1.
Now, the common factors can be found like this.
698:2x 349
308:2x 2x 7x 11
856:2x 2x 2x 107
707:7x 101
390:2x 3x 5x 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 2x 2x 7 = 112
Therefore, the value for common factors is 112.
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 = 50741572801920/(1x112)
LCM = 50741572801920/112
LCM = 453049757160
Thus, we can understand that the LCM of 698,308,856,707,390 is 453049757160.
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FAQs on LCM of 698, 308, 856, 707, 390
1. What is the LCM of 698, 308, 856, 707, 390?
Answer: LCM of 698, 308, 856, 707, 390 is 453049757160.
2. How to calculate the LCM of 698, 308, 856, 707, 390?
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 698, 308, 856, 707, 390.
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}.