LCM of 699, 252, 893, 611, 561
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 699, 252, 893, 611, 561 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 699, 252, 893, 611, 561. So, keep reading to learn more.
Given numbers are 699,252,893,611,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,252,893,611,561 is 127465566228.
Find LCM of 699,252,893,611,561 with Prime Factorization
| 3 | 699, 252, 893, 611, 561 |
| 47 | 233, 84, 893, 611, 187 |
| 233, 84, 19, 13, 187 |
Multiply the prime numbers at the bottom and the left side.
3 x 47 x 233 x 84 x 19 x 13 x 187 = 127465566228
Therefore, the lowest common multiple of 699,252,893,611,561 is 127465566228.
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.
699 x 252 x 893 x 611 x 561 = 53917934514444
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.
699 : 1, 3, 233, 699
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
893 : 1, 19, 47, 893
611 : 1, 13, 47, 611
561 : 1, 3, 11, 17, 33, 51, 187, 561
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,252,893,611,561, is 1.
Now, the common factors can be found like this.
699:3x 233
252:2x 2x 3x 3x 7
893:19x 47
611:13x 47
561:3x 11x 17
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 47 = 423
Therefore, the value for common factors is 423.
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 = 53917934514444/(1x423)
LCM = 53917934514444/423
LCM = 127465566228
Thus, we can understand that the LCM of 699,252,893,611,561 is 127465566228.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 699, 252, 893, 611, 561
1. What is the LCM of 699, 252, 893, 611, 561?
Answer: LCM of 699, 252, 893, 611, 561 is 127465566228.
2. How to calculate the LCM of 699, 252, 893, 611, 561?
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 699, 252, 893, 611, 561.
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}.