LCM of 848, 764, 550, 180, 955
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 848, 764, 550, 180, 955 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 848, 764, 550, 180, 955. So, keep reading to learn more.
Given numbers are 848,764,550,180,955
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 848,764,550,180,955 is 400870800.
Find LCM of 848,764,550,180,955 with Prime Factorization
| 2 | 848, 764, 550, 180, 955 |
| 2 | 424, 382, 275, 90, 955 |
| 5 | 212, 191, 275, 45, 955 |
| 191 | 212, 191, 55, 9, 191 |
| 212, 1, 55, 9, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 191 x 212 x 1 x 55 x 9 x 1 = 400870800
Therefore, the lowest common multiple of 848,764,550,180,955 is 400870800.
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.
848 x 764 x 550 x 180 x 955 = 61253058240000
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.
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
764 : 1, 2, 4, 191, 382, 764
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
955 : 1, 5, 191, 955
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 848,764,550,180,955, is 1.
Now, the common factors can be found like this.
848:2x 2x 2x 2x 53
764:2x 2x 191
550:2x 5x 5x 11
180:2x 2x 3x 3x 5
955:5x 191
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 2x 5x 5x 191 = 152800
Therefore, the value for common factors is 152800.
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 = 61253058240000/(1x152800)
LCM = 61253058240000/152800
LCM = 400870800
Thus, we can understand that the LCM of 848,764,550,180,955 is 400870800.
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FAQs on LCM of 848, 764, 550, 180, 955
1. What is the LCM of 848, 764, 550, 180, 955?
Answer: LCM of 848, 764, 550, 180, 955 is 400870800.
2. How to calculate the LCM of 848, 764, 550, 180, 955?
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 848, 764, 550, 180, 955.
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}.