LCM of 851, 642, 378, 220, 644
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 851, 642, 378, 220, 644 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 851, 642, 378, 220, 644. So, keep reading to learn more.
Given numbers are 851,642,378,220,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 851,642,378,220,644 is 3786150060.
Find LCM of 851,642,378,220,644 with Prime Factorization
| 2 | 851, 642, 378, 220, 644 |
| 2 | 851, 321, 189, 110, 322 |
| 3 | 851, 321, 189, 55, 161 |
| 7 | 851, 107, 63, 55, 161 |
| 23 | 851, 107, 9, 55, 23 |
| 37, 107, 9, 55, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 23 x 37 x 107 x 9 x 55 x 1 = 3786150060
Therefore, the lowest common multiple of 851,642,378,220,644 is 3786150060.
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.
851 x 642 x 378 x 220 x 644 = 29259367663680
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.
851 : 1, 23, 37, 851
642 : 1, 2, 3, 6, 107, 214, 321, 642
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,642,378,220,644, is 1.
Now, the common factors can be found like this.
851:23x 37
642:2x 3x 107
378:2x 3x 3x 3x 7
220:2x 2x 5x 11
644:2x 2x 7x 23
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 2x 3x 7x 23 = 7728
Therefore, the value for common factors is 7728.
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 = 29259367663680/(1x7728)
LCM = 29259367663680/7728
LCM = 3786150060
Thus, we can understand that the LCM of 851,642,378,220,644 is 3786150060.
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FAQs on LCM of 851, 642, 378, 220, 644
1. What is the LCM of 851, 642, 378, 220, 644?
Answer: LCM of 851, 642, 378, 220, 644 is 3786150060.
2. How to calculate the LCM of 851, 642, 378, 220, 644?
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 851, 642, 378, 220, 644.
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}.