LCM of 315, 754, 628, 942
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 754, 628, 942 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 315, 754, 628, 942. So, keep reading to learn more.
Given numbers are 315,754,628,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,754,628,942 is 74578140.
Find LCM of 315,754,628,942 with Prime Factorization
| 2 | 315, 754, 628, 942 |
| 3 | 315, 377, 314, 471 |
| 157 | 105, 377, 314, 157 |
| 105, 377, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 157 x 105 x 377 x 2 x 1 = 74578140
Therefore, the lowest common multiple of 315,754,628,942 is 74578140.
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.
315 x 754 x 628 x 942 = 140505215760
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
754 : 1, 2, 13, 26, 29, 58, 377, 754
628 : 1, 2, 4, 157, 314, 628
942 : 1, 2, 3, 6, 157, 314, 471, 942
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,754,628,942, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
754:2x 13x 29
628:2x 2x 157
942:2x 3x 157
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 157 = 1884
Therefore, the value for common factors is 1884.
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 = 140505215760/(1x1884)
LCM = 140505215760/1884
LCM = 74578140
Thus, we can understand that the LCM of 315,754,628,942 is 74578140.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 315, 754, 628, 942
1. What is the LCM of 315, 754, 628, 942?
Answer: LCM of 315, 754, 628, 942 is 74578140.
2. How to calculate the LCM of 315, 754, 628, 942?
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 315, 754, 628, 942.
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}.