Find the LCM of 698, 274, 125, 312, 342 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 698, 274, 125, 312, 342. So, keep reading to learn more.
Given numbers are 698,274,125,312,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 698,274,125,312,342 is 106288299000.
Find LCM of 698,274,125,312,342 with Prime Factorization
2 | 698, 274, 125, 312, 342 |
3 | 349, 137, 125, 156, 171 |
349, 137, 125, 52, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 349 x 137 x 125 x 52 x 57 = 106288299000
Therefore, the lowest common multiple of 698,274,125,312,342 is 106288299000.
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.
698 x 274 x 125 x 312 x 342 = 2550919176000
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.
698 : 1, 2, 349, 698
274 : 1, 2, 137, 274
125 : 1, 5, 25, 125
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,274,125,312,342, is 1.
Now, the common factors can be found like this.
698:2x 349
274:2x 137
125:5x 5x 5
312:2x 2x 2x 3x 13
342:2x 3x 3x 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 2x 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 2550919176000/(1x24)
LCM = 2550919176000/24
LCM = 106288299000
Thus, we can understand that the LCM of 698,274,125,312,342 is 106288299000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 698, 274, 125, 312, 342?
Answer: LCM of 698, 274, 125, 312, 342 is 106288299000.
2. How to calculate the LCM of 698, 274, 125, 312, 342?
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 698, 274, 125, 312, 342.
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}.