LCM of 762, 221, 250, 966, 476
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 221, 250, 966, 476 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 762, 221, 250, 966, 476. So, keep reading to learn more.
Given numbers are 762,221,250,966,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,221,250,966,476 is 6778180500.
Find LCM of 762,221,250,966,476 with Prime Factorization
| 2 | 762, 221, 250, 966, 476 |
| 3 | 381, 221, 125, 483, 238 |
| 7 | 127, 221, 125, 161, 238 |
| 17 | 127, 221, 125, 23, 34 |
| 127, 13, 125, 23, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 127 x 13 x 125 x 23 x 2 = 6778180500
Therefore, the lowest common multiple of 762,221,250,966,476 is 6778180500.
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.
762 x 221 x 250 x 966 x 476 = 19358483508000
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
221 : 1, 13, 17, 221
250 : 1, 2, 5, 10, 25, 50, 125, 250
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,221,250,966,476, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
221:13x 17
250:2x 5x 5x 5
966:2x 3x 7x 23
476:2x 2x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 7x 17 = 2856
Therefore, the value for common factors is 2856.
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 = 19358483508000/(1x2856)
LCM = 19358483508000/2856
LCM = 6778180500
Thus, we can understand that the LCM of 762,221,250,966,476 is 6778180500.
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FAQs on LCM of 762, 221, 250, 966, 476
1. What is the LCM of 762, 221, 250, 966, 476?
Answer: LCM of 762, 221, 250, 966, 476 is 6778180500.
2. How to calculate the LCM of 762, 221, 250, 966, 476?
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 762, 221, 250, 966, 476.
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}.