Find the LCM of 350, 529, 275, 735, 224 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 350, 529, 275, 735, 224. So, keep reading to learn more.
Given numbers are 350,529,275,735,224
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 350,529,275,735,224 is 684314400.
Find LCM of 350,529,275,735,224 with Prime Factorization
2 | 350, 529, 275, 735, 224 |
5 | 175, 529, 275, 735, 112 |
5 | 35, 529, 55, 147, 112 |
7 | 7, 529, 11, 147, 112 |
1, 529, 11, 21, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 7 x 1 x 529 x 11 x 21 x 16 = 684314400
Therefore, the lowest common multiple of 350,529,275,735,224 is 684314400.
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.
350 x 529 x 275 x 735 x 224 = 8382851400000
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.
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
529 : 1, 23, 529
275 : 1, 5, 11, 25, 55, 275
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 350,529,275,735,224, is 1.
Now, the common factors can be found like this.
350:2x 5x 5x 7
529:23x 23
275:5x 5x 11
735:3x 5x 7x 7
224:2x 2x 2x 2x 2x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 5x 7x 7 = 12250
Therefore, the value for common factors is 12250.
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 = 8382851400000/(1x12250)
LCM = 8382851400000/12250
LCM = 684314400
Thus, we can understand that the LCM of 350,529,275,735,224 is 684314400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 350, 529, 275, 735, 224?
Answer: LCM of 350, 529, 275, 735, 224 is 684314400.
2. How to calculate the LCM of 350, 529, 275, 735, 224?
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 350, 529, 275, 735, 224.
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}.