LCM of 967, 830, 855, 802, 762
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 967, 830, 855, 802, 762 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 967, 830, 855, 802, 762. So, keep reading to learn more.
Given numbers are 967,830,855,802,762
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 967,830,855,802,762 is 6989542829370.
Find LCM of 967,830,855,802,762 with Prime Factorization
| 2 | 967, 830, 855, 802, 762 |
| 3 | 967, 415, 855, 401, 381 |
| 5 | 967, 415, 285, 401, 127 |
| 967, 83, 57, 401, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 967 x 83 x 57 x 401 x 127 = 6989542829370
Therefore, the lowest common multiple of 967,830,855,802,762 is 6989542829370.
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.
967 x 830 x 855 x 802 x 762 = 419372569762200
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.
967 : 1, 967
830 : 1, 2, 5, 10, 83, 166, 415, 830
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
802 : 1, 2, 401, 802
762 : 1, 2, 3, 6, 127, 254, 381, 762
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,830,855,802,762, is 1.
Now, the common factors can be found like this.
967:967
830:2x 5x 83
855:3x 3x 5x 19
802:2x 401
762:2x 3x 127
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 3x 5 = 60
Therefore, the value for common factors is 60.
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 = 419372569762200/(1x60)
LCM = 419372569762200/60
LCM = 6989542829370
Thus, we can understand that the LCM of 967,830,855,802,762 is 6989542829370.
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FAQs on LCM of 967, 830, 855, 802, 762
1. What is the LCM of 967, 830, 855, 802, 762?
Answer: LCM of 967, 830, 855, 802, 762 is 6989542829370.
2. How to calculate the LCM of 967, 830, 855, 802, 762?
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 967, 830, 855, 802, 762.
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}.