LCM of 856, 370, 370, 666, 578
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 856, 370, 370, 666, 578 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 856, 370, 370, 666, 578. So, keep reading to learn more.
Given numbers are 856,370,370,666,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 856,370,370,666,578 is 411894360.
Find LCM of 856,370,370,666,578 with Prime Factorization
| 2 | 856, 370, 370, 666, 578 |
| 5 | 428, 185, 185, 333, 289 |
| 37 | 428, 37, 37, 333, 289 |
| 428, 1, 1, 9, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 37 x 428 x 1 x 1 x 9 x 289 = 411894360
Therefore, the lowest common multiple of 856,370,370,666,578 is 411894360.
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.
856 x 370 x 370 x 666 x 578 = 45110670307200
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.
856 : 1, 2, 4, 8, 107, 214, 428, 856
370 : 1, 2, 5, 10, 37, 74, 185, 370
370 : 1, 2, 5, 10, 37, 74, 185, 370
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
578 : 1, 2, 17, 34, 289, 578
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,370,370,666,578, is 2.
Now, the common factors can be found like this.
856:2x 2x 2x 107
370:2x 5x 37
370:2x 5x 37
666:2x 3x 3x 37
578:2x 17x 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 5x 37x 37 = 54760
Therefore, the value for common factors is 54760.
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 = 45110670307200/(2x54760)
LCM = 45110670307200/109520
LCM = 411894360
Thus, we can understand that the LCM of 856,370,370,666,578 is 411894360.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 856, 370, 370, 666, 578
1. What is the LCM of 856, 370, 370, 666, 578?
Answer: LCM of 856, 370, 370, 666, 578 is 411894360.
2. How to calculate the LCM of 856, 370, 370, 666, 578?
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 856, 370, 370, 666, 578.
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}.