Find the LCM of 331, 371, 224, 736, 680 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 331, 371, 224, 736, 680. So, keep reading to learn more.
Given numbers are 331,371,224,736,680
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 331,371,224,736,680 is 7682430560.
Find LCM of 331,371,224,736,680 with Prime Factorization
2 | 331, 371, 224, 736, 680 |
2 | 331, 371, 112, 368, 340 |
2 | 331, 371, 56, 184, 170 |
2 | 331, 371, 28, 92, 85 |
2 | 331, 371, 14, 46, 85 |
7 | 331, 371, 7, 23, 85 |
331, 53, 1, 23, 85 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 7 x 331 x 53 x 1 x 23 x 85 = 7682430560
Therefore, the lowest common multiple of 331,371,224,736,680 is 7682430560.
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.
331 x 371 x 224 x 736 x 680 = 13766915563520
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.
331 : 1, 331
371 : 1, 7, 53, 371
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,371,224,736,680, is 1.
Now, the common factors can be found like this.
331:331
371:7x 53
224:2x 2x 2x 2x 2x 7
736:2x 2x 2x 2x 2x 23
680:2x 2x 2x 5x 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 2x 2x 2x 2x 2x 2x 2x 7 = 1792
Therefore, the value for common factors is 1792.
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 = 13766915563520/(1x1792)
LCM = 13766915563520/1792
LCM = 7682430560
Thus, we can understand that the LCM of 331,371,224,736,680 is 7682430560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 331, 371, 224, 736, 680?
Answer: LCM of 331, 371, 224, 736, 680 is 7682430560.
2. How to calculate the LCM of 331, 371, 224, 736, 680?
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 331, 371, 224, 736, 680.
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}.