LCM of 690, 397, 214, 606, 726
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 690, 397, 214, 606, 726 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 690, 397, 214, 606, 726. So, keep reading to learn more.
Given numbers are 690,397,214,606,726
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 690,397,214,606,726 is 358203742710.
Find LCM of 690,397,214,606,726 with Prime Factorization
| 2 | 690, 397, 214, 606, 726 |
| 3 | 345, 397, 107, 303, 363 |
| 115, 397, 107, 101, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 115 x 397 x 107 x 101 x 121 = 358203742710
Therefore, the lowest common multiple of 690,397,214,606,726 is 358203742710.
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.
690 x 397 x 214 x 606 x 726 = 25790669475120
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.
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
397 : 1, 397
214 : 1, 2, 107, 214
606 : 1, 2, 3, 6, 101, 202, 303, 606
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,397,214,606,726, is 1.
Now, the common factors can be found like this.
690:2x 3x 5x 23
397:397
214:2x 107
606:2x 3x 101
726:2x 3x 11x 11
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 3 = 72
Therefore, the value for common factors is 72.
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 = 25790669475120/(1x72)
LCM = 25790669475120/72
LCM = 358203742710
Thus, we can understand that the LCM of 690,397,214,606,726 is 358203742710.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 690, 397, 214, 606, 726
1. What is the LCM of 690, 397, 214, 606, 726?
Answer: LCM of 690, 397, 214, 606, 726 is 358203742710.
2. How to calculate the LCM of 690, 397, 214, 606, 726?
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 690, 397, 214, 606, 726.
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}.