LCM of 951, 147, 549, 929, 261
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 951, 147, 549, 929, 261 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 951, 147, 549, 929, 261. So, keep reading to learn more.
Given numbers are 951,147,549,929,261
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 951,147,549,929,261 is 229742529597.
Find LCM of 951,147,549,929,261 with Prime Factorization
| 3 | 951, 147, 549, 929, 261 |
| 3 | 317, 49, 183, 929, 87 |
| 317, 49, 61, 929, 29 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 317 x 49 x 61 x 929 x 29 = 229742529597
Therefore, the lowest common multiple of 951,147,549,929,261 is 229742529597.
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.
951 x 147 x 549 x 929 x 261 = 18609144897357
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.
951 : 1, 3, 317, 951
147 : 1, 3, 7, 21, 49, 147
549 : 1, 3, 9, 61, 183, 549
929 : 1, 929
261 : 1, 3, 9, 29, 87, 261
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 951,147,549,929,261, is 1.
Now, the common factors can be found like this.
951:3x 317
147:3x 7x 7
549:3x 3x 61
929:929
261:3x 3x 29
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 3x 3 = 81
Therefore, the value for common factors is 81.
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 = 18609144897357/(1x81)
LCM = 18609144897357/81
LCM = 229742529597
Thus, we can understand that the LCM of 951,147,549,929,261 is 229742529597.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 951, 147, 549, 929, 261
1. What is the LCM of 951, 147, 549, 929, 261?
Answer: LCM of 951, 147, 549, 929, 261 is 229742529597.
2. How to calculate the LCM of 951, 147, 549, 929, 261?
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 951, 147, 549, 929, 261.
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}.