Find the LCM of 526, 562, 650, 750, 312 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 526, 562, 650, 750, 312. So, keep reading to learn more.
Given numbers are 526,562,650,750,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 526,562,650,750,312 is 2882217000.
Find LCM of 526,562,650,750,312 with Prime Factorization
2 | 526, 562, 650, 750, 312 |
3 | 263, 281, 325, 375, 156 |
5 | 263, 281, 325, 125, 52 |
5 | 263, 281, 65, 25, 52 |
13 | 263, 281, 13, 5, 52 |
263, 281, 1, 5, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 13 x 263 x 281 x 1 x 5 x 4 = 2882217000
Therefore, the lowest common multiple of 526,562,650,750,312 is 2882217000.
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.
526 x 562 x 650 x 750 x 312 = 44962585200000
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.
526 : 1, 2, 263, 526
562 : 1, 2, 281, 562
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 526,562,650,750,312, is 2.
Now, the common factors can be found like this.
526:2x 263
562:2x 281
650:2x 5x 5x 13
750:2x 3x 5x 5x 5
312:2x 2x 2x 3x 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 3x 5x 5x 13 = 7800
Therefore, the value for common factors is 7800.
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 = 44962585200000/(2x7800)
LCM = 44962585200000/15600
LCM = 2882217000
Thus, we can understand that the LCM of 526,562,650,750,312 is 2882217000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 526, 562, 650, 750, 312?
Answer: LCM of 526, 562, 650, 750, 312 is 2882217000.
2. How to calculate the LCM of 526, 562, 650, 750, 312?
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 526, 562, 650, 750, 312.
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}.