Find the LCM of 877, 542, 312, 482, 260 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 877, 542, 312, 482, 260. So, keep reading to learn more.
Given numbers are 877,542,312,482,260
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 877,542,312,482,260 is 89353285320.
Find LCM of 877,542,312,482,260 with Prime Factorization
2 | 877, 542, 312, 482, 260 |
2 | 877, 271, 156, 241, 130 |
13 | 877, 271, 78, 241, 65 |
877, 271, 6, 241, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 877 x 271 x 6 x 241 x 5 = 89353285320
Therefore, the lowest common multiple of 877,542,312,482,260 is 89353285320.
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.
877 x 542 x 312 x 482 x 260 = 18585483346560
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.
877 : 1, 877
542 : 1, 2, 271, 542
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
482 : 1, 2, 241, 482
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 877,542,312,482,260, is 1.
Now, the common factors can be found like this.
877:877
542:2x 271
312:2x 2x 2x 3x 13
482:2x 241
260:2x 2x 5x 13
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 13 = 208
Therefore, the value for common factors is 208.
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 = 18585483346560/(1x208)
LCM = 18585483346560/208
LCM = 89353285320
Thus, we can understand that the LCM of 877,542,312,482,260 is 89353285320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 877, 542, 312, 482, 260?
Answer: LCM of 877, 542, 312, 482, 260 is 89353285320.
2. How to calculate the LCM of 877, 542, 312, 482, 260?
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 877, 542, 312, 482, 260.
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}.