LCM of 221, 868, 371, 754, 953
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 221, 868, 371, 754, 953 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 221, 868, 371, 754, 953. So, keep reading to learn more.
Given numbers are 221,868,371,754,953
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 221,868,371,754,953 is 280982173108.
Find LCM of 221,868,371,754,953 with Prime Factorization
| 2 | 221, 868, 371, 754, 953 |
| 7 | 221, 434, 371, 377, 953 |
| 13 | 221, 62, 53, 377, 953 |
| 17, 62, 53, 29, 953 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 17 x 62 x 53 x 29 x 953 = 280982173108
Therefore, the lowest common multiple of 221,868,371,754,953 is 280982173108.
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.
221 x 868 x 371 x 754 x 953 = 51138755505656
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.
221 : 1, 13, 17, 221
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
371 : 1, 7, 53, 371
754 : 1, 2, 13, 26, 29, 58, 377, 754
953 : 1, 953
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,868,371,754,953, is 1.
Now, the common factors can be found like this.
221:13x 17
868:2x 2x 7x 31
371:7x 53
754:2x 13x 29
953:953
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 13 = 182
Therefore, the value for common factors is 182.
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 = 51138755505656/(1x182)
LCM = 51138755505656/182
LCM = 280982173108
Thus, we can understand that the LCM of 221,868,371,754,953 is 280982173108.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 221, 868, 371, 754, 953
1. What is the LCM of 221, 868, 371, 754, 953?
Answer: LCM of 221, 868, 371, 754, 953 is 280982173108.
2. How to calculate the LCM of 221, 868, 371, 754, 953?
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 221, 868, 371, 754, 953.
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}.