LCM of 803, 989, 942, 744, 645
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 803, 989, 942, 744, 645 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 803, 989, 942, 744, 645. So, keep reading to learn more.
Given numbers are 803,989,942,744,645
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 803,989,942,744,645 is 463825294680.
Find LCM of 803,989,942,744,645 with Prime Factorization
| 2 | 803, 989, 942, 744, 645 |
| 3 | 803, 989, 471, 372, 645 |
| 43 | 803, 989, 157, 124, 215 |
| 803, 23, 157, 124, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 43 x 803 x 23 x 157 x 124 x 5 = 463825294680
Therefore, the lowest common multiple of 803,989,942,744,645 is 463825294680.
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.
803 x 989 x 942 x 744 x 645 = 359000778082320
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.
803 : 1, 11, 73, 803
989 : 1, 23, 43, 989
942 : 1, 2, 3, 6, 157, 314, 471, 942
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
645 : 1, 3, 5, 15, 43, 129, 215, 645
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,989,942,744,645, is 1.
Now, the common factors can be found like this.
803:11x 73
989:23x 43
942:2x 3x 157
744:2x 2x 2x 3x 31
645:3x 5x 43
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 43 = 774
Therefore, the value for common factors is 774.
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 = 359000778082320/(1x774)
LCM = 359000778082320/774
LCM = 463825294680
Thus, we can understand that the LCM of 803,989,942,744,645 is 463825294680.
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FAQs on LCM of 803, 989, 942, 744, 645
1. What is the LCM of 803, 989, 942, 744, 645?
Answer: LCM of 803, 989, 942, 744, 645 is 463825294680.
2. How to calculate the LCM of 803, 989, 942, 744, 645?
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 803, 989, 942, 744, 645.
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}.