LCM of 251, 722, 297, 902, 753
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 251, 722, 297, 902, 753 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 251, 722, 297, 902, 753. So, keep reading to learn more.
Given numbers are 251,722,297,902,753
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 251,722,297,902,753 is 2206740294.
Find LCM of 251,722,297,902,753 with Prime Factorization
| 2 | 251, 722, 297, 902, 753 |
| 3 | 251, 361, 297, 451, 753 |
| 11 | 251, 361, 99, 451, 251 |
| 251 | 251, 361, 9, 41, 251 |
| 1, 361, 9, 41, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 251 x 1 x 361 x 9 x 41 x 1 = 2206740294
Therefore, the lowest common multiple of 251,722,297,902,753 is 2206740294.
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.
251 x 722 x 297 x 902 x 753 = 36556859710404
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.
251 : 1, 251
722 : 1, 2, 19, 38, 361, 722
297 : 1, 3, 9, 11, 27, 33, 99, 297
902 : 1, 2, 11, 22, 41, 82, 451, 902
753 : 1, 3, 251, 753
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,722,297,902,753, is 1.
Now, the common factors can be found like this.
251:251
722:2x 19x 19
297:3x 3x 3x 11
902:2x 11x 41
753:3x 251
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 11x 251 = 16566
Therefore, the value for common factors is 16566.
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 = 36556859710404/(1x16566)
LCM = 36556859710404/16566
LCM = 2206740294
Thus, we can understand that the LCM of 251,722,297,902,753 is 2206740294.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 251, 722, 297, 902, 753
1. What is the LCM of 251, 722, 297, 902, 753?
Answer: LCM of 251, 722, 297, 902, 753 is 2206740294.
2. How to calculate the LCM of 251, 722, 297, 902, 753?
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 251, 722, 297, 902, 753.
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}.