LCM of 782, 221, 391, 476
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 221, 391, 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 782, 221, 391, 476. So, keep reading to learn more.
Given numbers are 782,221,391,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,221,391,476 is 142324.
Find LCM of 782,221,391,476 with Prime Factorization
| 2 | 782, 221, 391, 476 |
| 17 | 391, 221, 391, 238 |
| 23 | 23, 13, 23, 14 |
| 1, 13, 1, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 23 x 1 x 13 x 1 x 14 = 142324
Therefore, the lowest common multiple of 782,221,391,476 is 142324.
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.
782 x 221 x 391 x 476 = 32164939352
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
221 : 1, 13, 17, 221
391 : 1, 17, 23, 391
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,221,391,476, is 17.
Now, the common factors can be found like this.
782:2x 17x 23
221:13x 17
391:17x 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 17x 17x 23 = 13294
Therefore, the value for common factors is 13294.
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 = 32164939352/(17x13294)
LCM = 32164939352/225998
LCM = 142324
Thus, we can understand that the LCM of 782,221,391,476 is 142324.
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FAQs on LCM of 782, 221, 391, 476
1. What is the LCM of 782, 221, 391, 476?
Answer: LCM of 782, 221, 391, 476 is 142324.
2. How to calculate the LCM of 782, 221, 391, 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 782, 221, 391, 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}.