LCM of 988, 764, 692, 795, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 988, 764, 692, 795, 900 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 988, 764, 692, 795, 900. So, keep reading to learn more.
Given numbers are 988,764,692,795,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 988,764,692,795,900 is 389309321700.
Find LCM of 988,764,692,795,900 with Prime Factorization
| 2 | 988, 764, 692, 795, 900 |
| 2 | 494, 382, 346, 795, 450 |
| 3 | 247, 191, 173, 795, 225 |
| 5 | 247, 191, 173, 265, 75 |
| 247, 191, 173, 53, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 247 x 191 x 173 x 53 x 15 = 389309321700
Therefore, the lowest common multiple of 988,764,692,795,900 is 389309321700.
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.
988 x 764 x 692 x 795 x 900 = 373736948832000
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.
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
764 : 1, 2, 4, 191, 382, 764
692 : 1, 2, 4, 173, 346, 692
795 : 1, 3, 5, 15, 53, 159, 265, 795
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,764,692,795,900, is 1.
Now, the common factors can be found like this.
988:2x 2x 13x 19
764:2x 2x 191
692:2x 2x 173
795:3x 5x 53
900:2x 2x 3x 3x 5x 5
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 2x 3x 5 = 960
Therefore, the value for common factors is 960.
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 = 373736948832000/(1x960)
LCM = 373736948832000/960
LCM = 389309321700
Thus, we can understand that the LCM of 988,764,692,795,900 is 389309321700.
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FAQs on LCM of 988, 764, 692, 795, 900
1. What is the LCM of 988, 764, 692, 795, 900?
Answer: LCM of 988, 764, 692, 795, 900 is 389309321700.
2. How to calculate the LCM of 988, 764, 692, 795, 900?
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 988, 764, 692, 795, 900.
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}.