LCM of 302, 561, 527, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 302, 561, 527, 748 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 302, 561, 527, 748. So, keep reading to learn more.
Given numbers are 302,561,527,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 302,561,527,748 is 10504164.
Find LCM of 302,561,527,748 with Prime Factorization
| 2 | 302, 561, 527, 748 |
| 11 | 151, 561, 527, 374 |
| 17 | 151, 51, 527, 34 |
| 151, 3, 31, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 151 x 3 x 31 x 2 = 10504164
Therefore, the lowest common multiple of 302,561,527,748 is 10504164.
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.
302 x 561 x 527 x 748 = 66785474712
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.
302 : 1, 2, 151, 302
561 : 1, 3, 11, 17, 33, 51, 187, 561
527 : 1, 17, 31, 527
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,561,527,748, is 1.
Now, the common factors can be found like this.
302:2x 151
561:3x 11x 17
527:17x 31
748:2x 2x 11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 17x 17 = 6358
Therefore, the value for common factors is 6358.
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 = 66785474712/(1x6358)
LCM = 66785474712/6358
LCM = 10504164
Thus, we can understand that the LCM of 302,561,527,748 is 10504164.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 302, 561, 527, 748
1. What is the LCM of 302, 561, 527, 748?
Answer: LCM of 302, 561, 527, 748 is 10504164.
2. How to calculate the LCM of 302, 561, 527, 748?
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 302, 561, 527, 748.
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}.