LCM of 652, 975, 103, 442, 127
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 652, 975, 103, 442, 127 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 652, 975, 103, 442, 127. So, keep reading to learn more.
Given numbers are 652,975,103,442,127
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 652,975,103,442,127 is 141365058900.
Find LCM of 652,975,103,442,127 with Prime Factorization
| 2 | 652, 975, 103, 442, 127 |
| 13 | 326, 975, 103, 221, 127 |
| 326, 75, 103, 17, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 326 x 75 x 103 x 17 x 127 = 141365058900
Therefore, the lowest common multiple of 652,975,103,442,127 is 141365058900.
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.
652 x 975 x 103 x 442 x 127 = 3675491531400
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.
652 : 1, 2, 4, 163, 326, 652
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
103 : 1, 103
442 : 1, 2, 13, 17, 26, 34, 221, 442
127 : 1, 127
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 652,975,103,442,127, is 1.
Now, the common factors can be found like this.
652:2x 2x 163
975:3x 5x 5x 13
103:103
442:2x 13x 17
127:127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 3675491531400/(1x26)
LCM = 3675491531400/26
LCM = 141365058900
Thus, we can understand that the LCM of 652,975,103,442,127 is 141365058900.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 652, 975, 103, 442, 127
1. What is the LCM of 652, 975, 103, 442, 127?
Answer: LCM of 652, 975, 103, 442, 127 is 141365058900.
2. How to calculate the LCM of 652, 975, 103, 442, 127?
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 652, 975, 103, 442, 127.
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}.