LCM of 782, 354, 882, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 354, 882, 420 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, 354, 882, 420. So, keep reading to learn more.
Given numbers are 782,354,882,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,354,882,420 is 203468580.
Find LCM of 782,354,882,420 with Prime Factorization
| 2 | 782, 354, 882, 420 |
| 3 | 391, 177, 441, 210 |
| 7 | 391, 59, 147, 70 |
| 391, 59, 21, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 391 x 59 x 21 x 10 = 203468580
Therefore, the lowest common multiple of 782,354,882,420 is 203468580.
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 354 x 882 x 420 = 102548164320
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
354 : 1, 2, 3, 6, 59, 118, 177, 354
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,354,882,420, is 2.
Now, the common factors can be found like this.
782:2x 17x 23
354:2x 3x 59
882:2x 3x 3x 7x 7
420:2x 2x 3x 5x 7
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 3x 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 102548164320/(2x252)
LCM = 102548164320/504
LCM = 203468580
Thus, we can understand that the LCM of 782,354,882,420 is 203468580.
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FAQs on LCM of 782, 354, 882, 420
1. What is the LCM of 782, 354, 882, 420?
Answer: LCM of 782, 354, 882, 420 is 203468580.
2. How to calculate the LCM of 782, 354, 882, 420?
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, 354, 882, 420.
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}.