LCM of 706, 117, 153, 690, 299
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 706, 117, 153, 690, 299 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 706, 117, 153, 690, 299. So, keep reading to learn more.
Given numbers are 706,117,153,690,299
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 706,117,153,690,299 is 161486910.
Find LCM of 706,117,153,690,299 with Prime Factorization
| 2 | 706, 117, 153, 690, 299 |
| 3 | 353, 117, 153, 345, 299 |
| 3 | 353, 39, 51, 115, 299 |
| 13 | 353, 13, 17, 115, 299 |
| 23 | 353, 1, 17, 115, 23 |
| 353, 1, 17, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 23 x 353 x 1 x 17 x 5 x 1 = 161486910
Therefore, the lowest common multiple of 706,117,153,690,299 is 161486910.
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.
706 x 117 x 153 x 690 x 299 = 2607367648860
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.
706 : 1, 2, 353, 706
117 : 1, 3, 9, 13, 39, 117
153 : 1, 3, 9, 17, 51, 153
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
299 : 1, 13, 23, 299
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,117,153,690,299, is 1.
Now, the common factors can be found like this.
706:2x 353
117:3x 3x 13
153:3x 3x 17
690:2x 3x 5x 23
299:13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 13x 23 = 16146
Therefore, the value for common factors is 16146.
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 = 2607367648860/(1x16146)
LCM = 2607367648860/16146
LCM = 161486910
Thus, we can understand that the LCM of 706,117,153,690,299 is 161486910.
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FAQs on LCM of 706, 117, 153, 690, 299
1. What is the LCM of 706, 117, 153, 690, 299?
Answer: LCM of 706, 117, 153, 690, 299 is 161486910.
2. How to calculate the LCM of 706, 117, 153, 690, 299?
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 706, 117, 153, 690, 299.
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}.