LCM of 705, 264, 581, 572, 983
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 264, 581, 572, 983 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, 264, 581, 572, 983. So, keep reading to learn more.
Given numbers are 705,264,581,572,983
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,264,581,572,983 is 460622121960.
Find LCM of 705,264,581,572,983 with Prime Factorization
| 2 | 705, 264, 581, 572, 983 |
| 2 | 705, 132, 581, 286, 983 |
| 3 | 705, 66, 581, 143, 983 |
| 11 | 235, 22, 581, 143, 983 |
| 235, 2, 581, 13, 983 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 235 x 2 x 581 x 13 x 983 = 460622121960
Therefore, the lowest common multiple of 705,264,581,572,983 is 460622121960.
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 264 x 581 x 572 x 983 = 60802120098720
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
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
581 : 1, 7, 83, 581
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
983 : 1, 983
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,264,581,572,983, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
264:2x 2x 2x 3x 11
581:7x 83
572:2x 2x 11x 13
983:983
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 11 = 132
Therefore, the value for common factors is 132.
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 = 60802120098720/(1x132)
LCM = 60802120098720/132
LCM = 460622121960
Thus, we can understand that the LCM of 705,264,581,572,983 is 460622121960.
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FAQs on LCM of 705, 264, 581, 572, 983
1. What is the LCM of 705, 264, 581, 572, 983?
Answer: LCM of 705, 264, 581, 572, 983 is 460622121960.
2. How to calculate the LCM of 705, 264, 581, 572, 983?
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, 264, 581, 572, 983.
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}.