Find the LCM of 362, 493, 613, 992, 612 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 362, 493, 613, 992, 612. So, keep reading to learn more.
Given numbers are 362,493,613,992,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 362,493,613,992,612 is 488360073312.
Find LCM of 362,493,613,992,612 with Prime Factorization
2 | 362, 493, 613, 992, 612 |
2 | 181, 493, 613, 496, 306 |
17 | 181, 493, 613, 248, 153 |
181, 29, 613, 248, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 181 x 29 x 613 x 248 x 9 = 488360073312
Therefore, the lowest common multiple of 362,493,613,992,612 is 488360073312.
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.
362 x 493 x 613 x 992 x 612 = 66416969970432
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.
362 : 1, 2, 181, 362
493 : 1, 17, 29, 493
613 : 1, 613
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,493,613,992,612, is 1.
Now, the common factors can be found like this.
362:2x 181
493:17x 29
613:613
992:2x 2x 2x 2x 2x 31
612:2x 2x 3x 3x 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 17 = 136
Therefore, the value for common factors is 136.
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 = 66416969970432/(1x136)
LCM = 66416969970432/136
LCM = 488360073312
Thus, we can understand that the LCM of 362,493,613,992,612 is 488360073312.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 362, 493, 613, 992, 612?
Answer: LCM of 362, 493, 613, 992, 612 is 488360073312.
2. How to calculate the LCM of 362, 493, 613, 992, 612?
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 362, 493, 613, 992, 612.
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}.