LCM of 101, 561, 370, 588, 493
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 101, 561, 370, 588, 493 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 101, 561, 370, 588, 493. So, keep reading to learn more.
Given numbers are 101,561,370,588,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 101,561,370,588,493 is 59581307940.
Find LCM of 101,561,370,588,493 with Prime Factorization
| 2 | 101, 561, 370, 588, 493 |
| 3 | 101, 561, 185, 294, 493 |
| 17 | 101, 187, 185, 98, 493 |
| 101, 11, 185, 98, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 101 x 11 x 185 x 98 x 29 = 59581307940
Therefore, the lowest common multiple of 101,561,370,588,493 is 59581307940.
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.
101 x 561 x 370 x 588 x 493 = 6077293409880
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.
101 : 1, 101
561 : 1, 3, 11, 17, 33, 51, 187, 561
370 : 1, 2, 5, 10, 37, 74, 185, 370
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,561,370,588,493, is 1.
Now, the common factors can be found like this.
101:101
561:3x 11x 17
370:2x 5x 37
588:2x 2x 3x 7x 7
493:17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 17 = 102
Therefore, the value for common factors is 102.
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 = 6077293409880/(1x102)
LCM = 6077293409880/102
LCM = 59581307940
Thus, we can understand that the LCM of 101,561,370,588,493 is 59581307940.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 101, 561, 370, 588, 493
1. What is the LCM of 101, 561, 370, 588, 493?
Answer: LCM of 101, 561, 370, 588, 493 is 59581307940.
2. How to calculate the LCM of 101, 561, 370, 588, 493?
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 101, 561, 370, 588, 493.
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}.