Find the LCM of 493, 360, 931, 570, 969 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 493, 360, 931, 570, 969. So, keep reading to learn more.
Given numbers are 493,360,931,570,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,360,931,570,969 is 165233880.
Find LCM of 493,360,931,570,969 with Prime Factorization
2 | 493, 360, 931, 570, 969 |
3 | 493, 180, 931, 285, 969 |
5 | 493, 60, 931, 95, 323 |
17 | 493, 12, 931, 19, 323 |
19 | 29, 12, 931, 19, 19 |
29, 12, 49, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 19 x 29 x 12 x 49 x 1 x 1 = 165233880
Therefore, the lowest common multiple of 493,360,931,570,969 is 165233880.
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.
493 x 360 x 931 x 570 x 969 = 91263628940400
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.
493 : 1, 17, 29, 493
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
931 : 1, 7, 19, 49, 133, 931
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,360,931,570,969, is 1.
Now, the common factors can be found like this.
493:17x 29
360:2x 2x 2x 3x 3x 5
931:7x 7x 19
570:2x 3x 5x 19
969:3x 17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 17x 19x 19 = 552330
Therefore, the value for common factors is 552330.
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 = 91263628940400/(1x552330)
LCM = 91263628940400/552330
LCM = 165233880
Thus, we can understand that the LCM of 493,360,931,570,969 is 165233880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 493, 360, 931, 570, 969?
Answer: LCM of 493, 360, 931, 570, 969 is 165233880.
2. How to calculate the LCM of 493, 360, 931, 570, 969?
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 493, 360, 931, 570, 969.
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}.