Find the LCM of 598, 722, 922, 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, 722, 922, 972. So, keep reading to learn more.
Given numbers are 598,722,922,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,722,922,972 is 48366602388.
Find LCM of 598,722,922,972 with Prime Factorization
2 | 598, 722, 922, 972 |
299, 361, 461, 486 |
Multiply the prime numbers at the bottom and the left side.
2 x 299 x 361 x 461 x 486 = 48366602388
Therefore, the lowest common multiple of 598,722,922,972 is 48366602388.
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 722 x 922 x 972 = 386932819104
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
722 : 1, 2, 19, 38, 361, 722
922 : 1, 2, 461, 922
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,722,922,972, is 2.
Now, the common factors can be found like this.
598:2x 13x 23
722:2x 19x 19
922:2x 461
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 2 = 4
Therefore, the value for common factors is 4.
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 = 386932819104/(2x4)
LCM = 386932819104/8
LCM = 48366602388
Thus, we can understand that the LCM of 598,722,922,972 is 48366602388.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 598, 722, 922, 972?
Answer: LCM of 598, 722, 922, 972 is 48366602388.
2. How to calculate the LCM of 598, 722, 922, 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, 722, 922, 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}.