LCM of 570, 748, 209, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 570, 748, 209, 420 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 570, 748, 209, 420. So, keep reading to learn more.
Given numbers are 570,748,209,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 570,748,209,420 is 1492260.
Find LCM of 570,748,209,420 with Prime Factorization
| 2 | 570, 748, 209, 420 |
| 2 | 285, 374, 209, 210 |
| 3 | 285, 187, 209, 105 |
| 5 | 95, 187, 209, 35 |
| 11 | 19, 187, 209, 7 |
| 19 | 19, 17, 19, 7 |
| 1, 17, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 19 x 1 x 17 x 1 x 7 = 1492260
Therefore, the lowest common multiple of 570,748,209,420 is 1492260.
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.
570 x 748 x 209 x 420 = 37425880800
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.
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
209 : 1, 11, 19, 209
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,748,209,420, is 1.
Now, the common factors can be found like this.
570:2x 3x 5x 19
748:2x 2x 11x 17
209:11x 19
420:2x 2x 3x 5x 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 2x 2x 3x 5x 11x 19 = 25080
Therefore, the value for common factors is 25080.
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 = 37425880800/(1x25080)
LCM = 37425880800/25080
LCM = 1492260
Thus, we can understand that the LCM of 570,748,209,420 is 1492260.
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FAQs on LCM of 570, 748, 209, 420
1. What is the LCM of 570, 748, 209, 420?
Answer: LCM of 570, 748, 209, 420 is 1492260.
2. How to calculate the LCM of 570, 748, 209, 420?
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 570, 748, 209, 420.
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}.