LCM of 860, 469, 670, 433, 378
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 860, 469, 670, 433, 378 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 860, 469, 670, 433, 378. So, keep reading to learn more.
Given numbers are 860,469,670,433,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 860,469,670,433,378 is 4715447940.
Find LCM of 860,469,670,433,378 with Prime Factorization
| 2 | 860, 469, 670, 433, 378 |
| 5 | 430, 469, 335, 433, 189 |
| 7 | 86, 469, 67, 433, 189 |
| 67 | 86, 67, 67, 433, 27 |
| 86, 1, 1, 433, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 67 x 86 x 1 x 1 x 433 x 27 = 4715447940
Therefore, the lowest common multiple of 860,469,670,433,378 is 4715447940.
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.
860 x 469 x 670 x 433 x 378 = 44230901677200
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.
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
469 : 1, 7, 67, 469
670 : 1, 2, 5, 10, 67, 134, 335, 670
433 : 1, 433
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,469,670,433,378, is 1.
Now, the common factors can be found like this.
860:2x 2x 5x 43
469:7x 67
670:2x 5x 67
433:433
378:2x 3x 3x 3x 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 5x 7x 67 = 9380
Therefore, the value for common factors is 9380.
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 = 44230901677200/(1x9380)
LCM = 44230901677200/9380
LCM = 4715447940
Thus, we can understand that the LCM of 860,469,670,433,378 is 4715447940.
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FAQs on LCM of 860, 469, 670, 433, 378
1. What is the LCM of 860, 469, 670, 433, 378?
Answer: LCM of 860, 469, 670, 433, 378 is 4715447940.
2. How to calculate the LCM of 860, 469, 670, 433, 378?
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 860, 469, 670, 433, 378.
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}.