LCM of 339, 714, 753, 570, 950
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 339, 714, 753, 570, 950 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 339, 714, 753, 570, 950. So, keep reading to learn more.
Given numbers are 339,714,753,570,950
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,714,753,570,950 is 9619311450.
Find LCM of 339,714,753,570,950 with Prime Factorization
| 2 | 339, 714, 753, 570, 950 |
| 3 | 339, 357, 753, 285, 475 |
| 5 | 113, 119, 251, 95, 475 |
| 19 | 113, 119, 251, 19, 95 |
| 113, 119, 251, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 113 x 119 x 251 x 1 x 5 = 9619311450
Therefore, the lowest common multiple of 339,714,753,570,950 is 9619311450.
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.
339 x 714 x 753 x 570 x 950 = 98694135477000
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.
339 : 1, 3, 113, 339
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
753 : 1, 3, 251, 753
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,714,753,570,950, is 1.
Now, the common factors can be found like this.
339:3x 113
714:2x 3x 7x 17
753:3x 251
570:2x 3x 5x 19
950:2x 5x 5x 19
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 3x 5x 19 = 10260
Therefore, the value for common factors is 10260.
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 = 98694135477000/(1x10260)
LCM = 98694135477000/10260
LCM = 9619311450
Thus, we can understand that the LCM of 339,714,753,570,950 is 9619311450.
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FAQs on LCM of 339, 714, 753, 570, 950
1. What is the LCM of 339, 714, 753, 570, 950?
Answer: LCM of 339, 714, 753, 570, 950 is 9619311450.
2. How to calculate the LCM of 339, 714, 753, 570, 950?
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 339, 714, 753, 570, 950.
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}.