LCM of 850, 428, 465, 578, 770
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 850, 428, 465, 578, 770 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 850, 428, 465, 578, 770. So, keep reading to learn more.
Given numbers are 850,428,465,578,770
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 850,428,465,578,770 is 22143960300.
Find LCM of 850,428,465,578,770 with Prime Factorization
| 2 | 850, 428, 465, 578, 770 |
| 5 | 425, 214, 465, 289, 385 |
| 17 | 85, 214, 93, 289, 77 |
| 5, 214, 93, 17, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 5 x 214 x 93 x 17 x 77 = 22143960300
Therefore, the lowest common multiple of 850,428,465,578,770 is 22143960300.
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.
850 x 428 x 465 x 578 x 770 = 75289465020000
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.
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
428 : 1, 2, 4, 107, 214, 428
465 : 1, 3, 5, 15, 31, 93, 155, 465
578 : 1, 2, 17, 34, 289, 578
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 850,428,465,578,770, is 1.
Now, the common factors can be found like this.
850:2x 5x 5x 17
428:2x 2x 107
465:3x 5x 31
578:2x 17x 17
770:2x 5x 7x 11
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 5x 17 = 3400
Therefore, the value for common factors is 3400.
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 = 75289465020000/(1x3400)
LCM = 75289465020000/3400
LCM = 22143960300
Thus, we can understand that the LCM of 850,428,465,578,770 is 22143960300.
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FAQs on LCM of 850, 428, 465, 578, 770
1. What is the LCM of 850, 428, 465, 578, 770?
Answer: LCM of 850, 428, 465, 578, 770 is 22143960300.
2. How to calculate the LCM of 850, 428, 465, 578, 770?
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 850, 428, 465, 578, 770.
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}.