LCM of 942, 702, 578, 816
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 942, 702, 578, 816 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 942, 702, 578, 816. So, keep reading to learn more.
Given numbers are 942,702,578,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 942,702,578,816 is 254814768.
Find LCM of 942,702,578,816 with Prime Factorization
| 2 | 942, 702, 578, 816 |
| 3 | 471, 351, 289, 408 |
| 17 | 157, 117, 289, 136 |
| 157, 117, 17, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 157 x 117 x 17 x 8 = 254814768
Therefore, the lowest common multiple of 942,702,578,816 is 254814768.
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.
942 x 702 x 578 x 816 = 311893276032
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.
942 : 1, 2, 3, 6, 157, 314, 471, 942
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
578 : 1, 2, 17, 34, 289, 578
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,702,578,816, is 2.
Now, the common factors can be found like this.
942:2x 3x 157
702:2x 3x 3x 3x 13
578:2x 17x 17
816:2x 2x 2x 2x 3x 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 3x 3x 17 = 612
Therefore, the value for common factors is 612.
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 = 311893276032/(2x612)
LCM = 311893276032/1224
LCM = 254814768
Thus, we can understand that the LCM of 942,702,578,816 is 254814768.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 942, 702, 578, 816
1. What is the LCM of 942, 702, 578, 816?
Answer: LCM of 942, 702, 578, 816 is 254814768.
2. How to calculate the LCM of 942, 702, 578, 816?
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 942, 702, 578, 816.
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}.