LCM of 802, 946, 788, 238, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 802, 946, 788, 238, 748 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 802, 946, 788, 238, 748. So, keep reading to learn more.
Given numbers are 802,946,788,238,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 802,946,788,238,748 is 17786016556.
Find LCM of 802,946,788,238,748 with Prime Factorization
| 2 | 802, 946, 788, 238, 748 |
| 2 | 401, 473, 394, 119, 374 |
| 11 | 401, 473, 197, 119, 187 |
| 17 | 401, 43, 197, 119, 17 |
| 401, 43, 197, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 17 x 401 x 43 x 197 x 7 x 1 = 17786016556
Therefore, the lowest common multiple of 802,946,788,238,748 is 17786016556.
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.
802 x 946 x 788 x 238 x 748 = 106431523071104
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.
802 : 1, 2, 401, 802
946 : 1, 2, 11, 22, 43, 86, 473, 946
788 : 1, 2, 4, 197, 394, 788
238 : 1, 2, 7, 14, 17, 34, 119, 238
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,946,788,238,748, is 2.
Now, the common factors can be found like this.
802:2x 401
946:2x 11x 43
788:2x 2x 197
238:2x 7x 17
748:2x 2x 11x 17
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 11x 17 = 2992
Therefore, the value for common factors is 2992.
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 = 106431523071104/(2x2992)
LCM = 106431523071104/5984
LCM = 17786016556
Thus, we can understand that the LCM of 802,946,788,238,748 is 17786016556.
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FAQs on LCM of 802, 946, 788, 238, 748
1. What is the LCM of 802, 946, 788, 238, 748?
Answer: LCM of 802, 946, 788, 238, 748 is 17786016556.
2. How to calculate the LCM of 802, 946, 788, 238, 748?
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 802, 946, 788, 238, 748.
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}.