LCM of 705, 881, 561, 551, 435
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 881, 561, 551, 435 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, 881, 561, 551, 435. So, keep reading to learn more.
Given numbers are 705,881,561,551,435
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,881,561,551,435 is 63996795885.
Find LCM of 705,881,561,551,435 with Prime Factorization
| 3 | 705, 881, 561, 551, 435 |
| 5 | 235, 881, 187, 551, 145 |
| 29 | 47, 881, 187, 551, 29 |
| 47, 881, 187, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 29 x 47 x 881 x 187 x 19 x 1 = 63996795885
Therefore, the lowest common multiple of 705,881,561,551,435 is 63996795885.
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 881 x 561 x 551 x 435 = 83515818629925
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
881 : 1, 881
561 : 1, 3, 11, 17, 33, 51, 187, 561
551 : 1, 19, 29, 551
435 : 1, 3, 5, 15, 29, 87, 145, 435
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,881,561,551,435, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
881:881
561:3x 11x 17
551:19x 29
435:3x 5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 29 = 1305
Therefore, the value for common factors is 1305.
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 = 83515818629925/(1x1305)
LCM = 83515818629925/1305
LCM = 63996795885
Thus, we can understand that the LCM of 705,881,561,551,435 is 63996795885.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 705, 881, 561, 551, 435
1. What is the LCM of 705, 881, 561, 551, 435?
Answer: LCM of 705, 881, 561, 551, 435 is 63996795885.
2. How to calculate the LCM of 705, 881, 561, 551, 435?
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, 881, 561, 551, 435.
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}.