LCM of 971, 882, 259, 219, 753
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 971, 882, 259, 219, 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 971, 882, 259, 219, 753. So, keep reading to learn more.
Given numbers are 971,882,259,219,753
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 971,882,259,219,753 is 580612151322.
Find LCM of 971,882,259,219,753 with Prime Factorization
| 3 | 971, 882, 259, 219, 753 |
| 7 | 971, 294, 259, 73, 251 |
| 971, 42, 37, 73, 251 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 971 x 42 x 37 x 73 x 251 = 580612151322
Therefore, the lowest common multiple of 971,882,259,219,753 is 580612151322.
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.
971 x 882 x 259 x 219 x 753 = 36578565533286
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.
971 : 1, 971
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
259 : 1, 7, 37, 259
219 : 1, 3, 73, 219
753 : 1, 3, 251, 753
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,882,259,219,753, is 1.
Now, the common factors can be found like this.
971:971
882:2x 3x 3x 7x 7
259:7x 37
219:3x 73
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.
3x 3x 7 = 63
Therefore, the value for common factors is 63.
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 = 36578565533286/(1x63)
LCM = 36578565533286/63
LCM = 580612151322
Thus, we can understand that the LCM of 971,882,259,219,753 is 580612151322.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 971, 882, 259, 219, 753
1. What is the LCM of 971, 882, 259, 219, 753?
Answer: LCM of 971, 882, 259, 219, 753 is 580612151322.
2. How to calculate the LCM of 971, 882, 259, 219, 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 971, 882, 259, 219, 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}.