LCM of 225, 770, 339, 374
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 225, 770, 339, 374 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 225, 770, 339, 374. So, keep reading to learn more.
Given numbers are 225,770,339,374
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 225,770,339,374 is 66562650.
Find LCM of 225,770,339,374 with Prime Factorization
| 2 | 225, 770, 339, 374 |
| 3 | 225, 385, 339, 187 |
| 5 | 75, 385, 113, 187 |
| 11 | 15, 77, 113, 187 |
| 15, 7, 113, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 15 x 7 x 113 x 17 = 66562650
Therefore, the lowest common multiple of 225,770,339,374 is 66562650.
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.
225 x 770 x 339 x 374 = 21965674500
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.
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
339 : 1, 3, 113, 339
374 : 1, 2, 11, 17, 22, 34, 187, 374
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 225,770,339,374, is 1.
Now, the common factors can be found like this.
225:3x 3x 5x 5
770:2x 5x 7x 11
339:3x 113
374:2x 11x 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 3x 5x 11 = 330
Therefore, the value for common factors is 330.
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 = 21965674500/(1x330)
LCM = 21965674500/330
LCM = 66562650
Thus, we can understand that the LCM of 225,770,339,374 is 66562650.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 225, 770, 339, 374
1. What is the LCM of 225, 770, 339, 374?
Answer: LCM of 225, 770, 339, 374 is 66562650.
2. How to calculate the LCM of 225, 770, 339, 374?
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 225, 770, 339, 374.
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}.