LCM of 781, 995, 987, 198, 802
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 781, 995, 987, 198, 802 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 781, 995, 987, 198, 802. So, keep reading to learn more.
Given numbers are 781,995,987,198,802
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,995,987,198,802 is 1845384592590.
Find LCM of 781,995,987,198,802 with Prime Factorization
| 2 | 781, 995, 987, 198, 802 |
| 3 | 781, 995, 987, 99, 401 |
| 11 | 781, 995, 329, 33, 401 |
| 71, 995, 329, 3, 401 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 71 x 995 x 329 x 3 x 401 = 1845384592590
Therefore, the lowest common multiple of 781,995,987,198,802 is 1845384592590.
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.
781 x 995 x 987 x 198 x 802 = 121795383110940
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.
781 : 1, 11, 71, 781
995 : 1, 5, 199, 995
987 : 1, 3, 7, 21, 47, 141, 329, 987
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
802 : 1, 2, 401, 802
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,995,987,198,802, is 1.
Now, the common factors can be found like this.
781:11x 71
995:5x 199
987:3x 7x 47
198:2x 3x 3x 11
802:2x 401
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 11 = 66
Therefore, the value for common factors is 66.
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 = 121795383110940/(1x66)
LCM = 121795383110940/66
LCM = 1845384592590
Thus, we can understand that the LCM of 781,995,987,198,802 is 1845384592590.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 781, 995, 987, 198, 802
1. What is the LCM of 781, 995, 987, 198, 802?
Answer: LCM of 781, 995, 987, 198, 802 is 1845384592590.
2. How to calculate the LCM of 781, 995, 987, 198, 802?
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 781, 995, 987, 198, 802.
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}.