LCM of 351, 710, 794, 410, 705
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 351, 710, 794, 410, 705 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 351, 710, 794, 410, 705. So, keep reading to learn more.
Given numbers are 351,710,794,410,705
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 351,710,794,410,705 is 190650384990.
Find LCM of 351,710,794,410,705 with Prime Factorization
| 2 | 351, 710, 794, 410, 705 |
| 3 | 351, 355, 397, 205, 705 |
| 5 | 117, 355, 397, 205, 235 |
| 117, 71, 397, 41, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 117 x 71 x 397 x 41 x 47 = 190650384990
Therefore, the lowest common multiple of 351,710,794,410,705 is 190650384990.
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.
351 x 710 x 794 x 410 x 705 = 57195115497000
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.
351 : 1, 3, 9, 13, 27, 39, 117, 351
710 : 1, 2, 5, 10, 71, 142, 355, 710
794 : 1, 2, 397, 794
410 : 1, 2, 5, 10, 41, 82, 205, 410
705 : 1, 3, 5, 15, 47, 141, 235, 705
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,710,794,410,705, is 1.
Now, the common factors can be found like this.
351:3x 3x 3x 13
710:2x 5x 71
794:2x 397
410:2x 5x 41
705:3x 5x 47
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 3x 5x 5 = 300
Therefore, the value for common factors is 300.
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 = 57195115497000/(1x300)
LCM = 57195115497000/300
LCM = 190650384990
Thus, we can understand that the LCM of 351,710,794,410,705 is 190650384990.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 351, 710, 794, 410, 705
1. What is the LCM of 351, 710, 794, 410, 705?
Answer: LCM of 351, 710, 794, 410, 705 is 190650384990.
2. How to calculate the LCM of 351, 710, 794, 410, 705?
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 351, 710, 794, 410, 705.
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}.