Find the LCM of 210, 493, 557, 765, 348 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 210, 493, 557, 765, 348. So, keep reading to learn more.
Given numbers are 210,493,557,765,348
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 210,493,557,765,348 is 345997260.
Find LCM of 210,493,557,765,348 with Prime Factorization
2 | 210, 493, 557, 765, 348 |
3 | 105, 493, 557, 765, 174 |
5 | 35, 493, 557, 255, 58 |
17 | 7, 493, 557, 51, 58 |
29 | 7, 29, 557, 3, 58 |
7, 1, 557, 3, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 29 x 7 x 1 x 557 x 3 x 2 = 345997260
Therefore, the lowest common multiple of 210,493,557,765,348 is 345997260.
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.
210 x 493 x 557 x 765 x 348 = 15351898426200
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.
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
493 : 1, 17, 29, 493
557 : 1, 557
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,493,557,765,348, is 1.
Now, the common factors can be found like this.
210:2x 3x 5x 7
493:17x 29
557:557
765:3x 3x 5x 17
348:2x 2x 3x 29
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 3x 5x 17x 29 = 44370
Therefore, the value for common factors is 44370.
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 = 15351898426200/(1x44370)
LCM = 15351898426200/44370
LCM = 345997260
Thus, we can understand that the LCM of 210,493,557,765,348 is 345997260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 210, 493, 557, 765, 348?
Answer: LCM of 210, 493, 557, 765, 348 is 345997260.
2. How to calculate the LCM of 210, 493, 557, 765, 348?
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 210, 493, 557, 765, 348.
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}.