LCM of 120, 198, 759, 692, 987
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 120, 198, 759, 692, 987 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 120, 198, 759, 692, 987. So, keep reading to learn more.
Given numbers are 120,198,759,692,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 120,198,759,692,987 is 5184000360.
Find LCM of 120,198,759,692,987 with Prime Factorization
| 2 | 120, 198, 759, 692, 987 |
| 2 | 60, 99, 759, 346, 987 |
| 3 | 30, 99, 759, 173, 987 |
| 11 | 10, 33, 253, 173, 329 |
| 10, 3, 23, 173, 329 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 10 x 3 x 23 x 173 x 329 = 5184000360
Therefore, the lowest common multiple of 120,198,759,692,987 is 5184000360.
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.
120 x 198 x 759 x 692 x 987 = 12317184855360
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.
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
759 : 1, 3, 11, 23, 33, 69, 253, 759
692 : 1, 2, 4, 173, 346, 692
987 : 1, 3, 7, 21, 47, 141, 329, 987
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 120,198,759,692,987, is 1.
Now, the common factors can be found like this.
120:2x 2x 2x 3x 5
198:2x 3x 3x 11
759:3x 11x 23
692:2x 2x 173
987:3x 7x 47
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 3x 3x 3x 11 = 2376
Therefore, the value for common factors is 2376.
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 = 12317184855360/(1x2376)
LCM = 12317184855360/2376
LCM = 5184000360
Thus, we can understand that the LCM of 120,198,759,692,987 is 5184000360.
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FAQs on LCM of 120, 198, 759, 692, 987
1. What is the LCM of 120, 198, 759, 692, 987?
Answer: LCM of 120, 198, 759, 692, 987 is 5184000360.
2. How to calculate the LCM of 120, 198, 759, 692, 987?
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 120, 198, 759, 692, 987.
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}.