LCM of 292, 803, 570, 341, 741
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 292, 803, 570, 341, 741 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 292, 803, 570, 341, 741. So, keep reading to learn more.
Given numbers are 292,803,570,341,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 292,803,570,341,741 is 368914260.
Find LCM of 292,803,570,341,741 with Prime Factorization
| 2 | 292, 803, 570, 341, 741 |
| 3 | 146, 803, 285, 341, 741 |
| 11 | 146, 803, 95, 341, 247 |
| 19 | 146, 73, 95, 31, 247 |
| 73 | 146, 73, 5, 31, 13 |
| 2, 1, 5, 31, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 19 x 73 x 2 x 1 x 5 x 31 x 13 = 368914260
Therefore, the lowest common multiple of 292,803,570,341,741 is 368914260.
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.
292 x 803 x 570 x 341 x 741 = 33771149188920
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.
292 : 1, 2, 4, 73, 146, 292
803 : 1, 11, 73, 803
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
341 : 1, 11, 31, 341
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,803,570,341,741, is 1.
Now, the common factors can be found like this.
292:2x 2x 73
803:11x 73
570:2x 3x 5x 19
341:11x 31
741:3x 13x 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 3x 11x 19x 73 = 91542
Therefore, the value for common factors is 91542.
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 = 33771149188920/(1x91542)
LCM = 33771149188920/91542
LCM = 368914260
Thus, we can understand that the LCM of 292,803,570,341,741 is 368914260.
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FAQs on LCM of 292, 803, 570, 341, 741
1. What is the LCM of 292, 803, 570, 341, 741?
Answer: LCM of 292, 803, 570, 341, 741 is 368914260.
2. How to calculate the LCM of 292, 803, 570, 341, 741?
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 292, 803, 570, 341, 741.
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}.