Find the LCM of 526, 120, 690, 274, 140 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, 120, 690, 274, 140. So, keep reading to learn more.
Given numbers are 526,120,690,274,140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 526,120,690,274,140 is 696118920.
Find LCM of 526,120,690,274,140 with Prime Factorization
2 | 526, 120, 690, 274, 140 |
2 | 263, 60, 345, 137, 70 |
3 | 263, 30, 345, 137, 35 |
5 | 263, 10, 115, 137, 35 |
263, 2, 23, 137, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 263 x 2 x 23 x 137 x 7 = 696118920
Therefore, the lowest common multiple of 526,120,690,274,140 is 696118920.
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 120 x 690 x 274 x 140 = 1670685408000
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
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
274 : 1, 2, 137, 274
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 526,120,690,274,140, is 2.
Now, the common factors can be found like this.
526:2x 263
120:2x 2x 2x 3x 5
690:2x 3x 5x 23
274:2x 137
140:2x 2x 5x 7
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 3x 5x 5 = 1200
Therefore, the value for common factors is 1200.
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 = 1670685408000/(2x1200)
LCM = 1670685408000/2400
LCM = 696118920
Thus, we can understand that the LCM of 526,120,690,274,140 is 696118920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 526, 120, 690, 274, 140?
Answer: LCM of 526, 120, 690, 274, 140 is 696118920.
2. How to calculate the LCM of 526, 120, 690, 274, 140?
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, 120, 690, 274, 140.
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}.