LCM of 705, 422, 923, 602, 710
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 422, 923, 602, 710 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 705, 422, 923, 602, 710. So, keep reading to learn more.
Given numbers are 705,422,923,602,710
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,422,923,602,710 is 82655120730.
Find LCM of 705,422,923,602,710 with Prime Factorization
| 2 | 705, 422, 923, 602, 710 |
| 5 | 705, 211, 923, 301, 355 |
| 71 | 141, 211, 923, 301, 71 |
| 141, 211, 13, 301, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 71 x 141 x 211 x 13 x 301 x 1 = 82655120730
Therefore, the lowest common multiple of 705,422,923,602,710 is 82655120730.
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.
705 x 422 x 923 x 602 x 710 = 117370271436600
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
422 : 1, 2, 211, 422
923 : 1, 13, 71, 923
602 : 1, 2, 7, 14, 43, 86, 301, 602
710 : 1, 2, 5, 10, 71, 142, 355, 710
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,422,923,602,710, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
422:2x 211
923:13x 71
602:2x 7x 43
710:2x 5x 71
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 5x 71 = 1420
Therefore, the value for common factors is 1420.
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 = 117370271436600/(1x1420)
LCM = 117370271436600/1420
LCM = 82655120730
Thus, we can understand that the LCM of 705,422,923,602,710 is 82655120730.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 705, 422, 923, 602, 710
1. What is the LCM of 705, 422, 923, 602, 710?
Answer: LCM of 705, 422, 923, 602, 710 is 82655120730.
2. How to calculate the LCM of 705, 422, 923, 602, 710?
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 705, 422, 923, 602, 710.
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}.