LCM of 302, 600, 942, 366
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 302, 600, 942, 366 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 302, 600, 942, 366. So, keep reading to learn more.
Given numbers are 302,600,942,366
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 302,600,942,366 is 867676200.
Find LCM of 302,600,942,366 with Prime Factorization
| 2 | 302, 600, 942, 366 |
| 3 | 151, 300, 471, 183 |
| 151, 100, 157, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 151 x 100 x 157 x 61 = 867676200
Therefore, the lowest common multiple of 302,600,942,366 is 867676200.
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.
302 x 600 x 942 x 366 = 62472686400
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.
302 : 1, 2, 151, 302
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
942 : 1, 2, 3, 6, 157, 314, 471, 942
366 : 1, 2, 3, 6, 61, 122, 183, 366
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,600,942,366, is 2.
Now, the common factors can be found like this.
302:2x 151
600:2x 2x 2x 3x 5x 5
942:2x 3x 157
366:2x 3x 61
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 3 = 36
Therefore, the value for common factors is 36.
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 = 62472686400/(2x36)
LCM = 62472686400/72
LCM = 867676200
Thus, we can understand that the LCM of 302,600,942,366 is 867676200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 302, 600, 942, 366
1. What is the LCM of 302, 600, 942, 366?
Answer: LCM of 302, 600, 942, 366 is 867676200.
2. How to calculate the LCM of 302, 600, 942, 366?
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 302, 600, 942, 366.
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}.