Find the LCM of 598, 377, 397, 700, 972 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 598, 377, 397, 700, 972. So, keep reading to learn more.
Given numbers are 598,377,397,700,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,377,397,700,972 is 585550028700.
Find LCM of 598,377,397,700,972 with Prime Factorization
2 | 598, 377, 397, 700, 972 |
2 | 299, 377, 397, 350, 486 |
13 | 299, 377, 397, 175, 243 |
23, 29, 397, 175, 243 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 23 x 29 x 397 x 175 x 243 = 585550028700
Therefore, the lowest common multiple of 598,377,397,700,972 is 585550028700.
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.
598 x 377 x 397 x 700 x 972 = 60897202984800
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
377 : 1, 13, 29, 377
397 : 1, 397
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,377,397,700,972, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
377:13x 29
397:397
700:2x 2x 5x 5x 7
972:2x 2x 3x 3x 3x 3x 3
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 13 = 104
Therefore, the value for common factors is 104.
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 = 60897202984800/(1x104)
LCM = 60897202984800/104
LCM = 585550028700
Thus, we can understand that the LCM of 598,377,397,700,972 is 585550028700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 598, 377, 397, 700, 972?
Answer: LCM of 598, 377, 397, 700, 972 is 585550028700.
2. How to calculate the LCM of 598, 377, 397, 700, 972?
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 598, 377, 397, 700, 972.
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}.