LCM of 750, 465, 314, 366
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 750, 465, 314, 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 750, 465, 314, 366. So, keep reading to learn more.
Given numbers are 750,465,314,366
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 750,465,314,366 is 222665250.
Find LCM of 750,465,314,366 with Prime Factorization
| 2 | 750, 465, 314, 366 |
| 3 | 375, 465, 157, 183 |
| 5 | 125, 155, 157, 61 |
| 25, 31, 157, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 25 x 31 x 157 x 61 = 222665250
Therefore, the lowest common multiple of 750,465,314,366 is 222665250.
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.
750 x 465 x 314 x 366 = 40079745000
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.
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
465 : 1, 3, 5, 15, 31, 93, 155, 465
314 : 1, 2, 157, 314
366 : 1, 2, 3, 6, 61, 122, 183, 366
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,465,314,366, is 1.
Now, the common factors can be found like this.
750:2x 3x 5x 5x 5
465:3x 5x 31
314:2x 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 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 40079745000/(1x180)
LCM = 40079745000/180
LCM = 222665250
Thus, we can understand that the LCM of 750,465,314,366 is 222665250.
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FAQs on LCM of 750, 465, 314, 366
1. What is the LCM of 750, 465, 314, 366?
Answer: LCM of 750, 465, 314, 366 is 222665250.
2. How to calculate the LCM of 750, 465, 314, 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 750, 465, 314, 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}.