LCM of 801, 136, 510, 971, 987
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 801, 136, 510, 971, 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 801, 136, 510, 971, 987. So, keep reading to learn more.
Given numbers are 801,136,510,971,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 801,136,510,971,987 is 174002928120.
Find LCM of 801,136,510,971,987 with Prime Factorization
| 2 | 801, 136, 510, 971, 987 |
| 3 | 801, 68, 255, 971, 987 |
| 17 | 267, 68, 85, 971, 329 |
| 267, 4, 5, 971, 329 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 267 x 4 x 5 x 971 x 329 = 174002928120
Therefore, the lowest common multiple of 801,136,510,971,987 is 174002928120.
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.
801 x 136 x 510 x 971 x 987 = 53244896004720
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.
801 : 1, 3, 9, 89, 267, 801
136 : 1, 2, 4, 8, 17, 34, 68, 136
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
971 : 1, 971
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 801,136,510,971,987, is 1.
Now, the common factors can be found like this.
801:3x 3x 89
136:2x 2x 2x 17
510:2x 3x 5x 17
971:971
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 3x 3x 17 = 306
Therefore, the value for common factors is 306.
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 = 53244896004720/(1x306)
LCM = 53244896004720/306
LCM = 174002928120
Thus, we can understand that the LCM of 801,136,510,971,987 is 174002928120.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 801, 136, 510, 971, 987
1. What is the LCM of 801, 136, 510, 971, 987?
Answer: LCM of 801, 136, 510, 971, 987 is 174002928120.
2. How to calculate the LCM of 801, 136, 510, 971, 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 801, 136, 510, 971, 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}.