Find the LCM of 694, 273, 347, 624 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 694, 273, 347, 624. So, keep reading to learn more.
Given numbers are 694,273,347,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 694,273,347,624 is 1515696.
Find LCM of 694,273,347,624 with Prime Factorization
2 | 694, 273, 347, 624 |
3 | 347, 273, 347, 312 |
13 | 347, 91, 347, 104 |
347 | 347, 7, 347, 8 |
1, 7, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 347 x 1 x 7 x 1 x 8 = 1515696
Therefore, the lowest common multiple of 694,273,347,624 is 1515696.
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.
694 x 273 x 347 x 624 = 41023827936
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.
694 : 1, 2, 347, 694
273 : 1, 3, 7, 13, 21, 39, 91, 273
347 : 1, 347
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,273,347,624, is 1.
Now, the common factors can be found like this.
694:2x 347
273:3x 7x 13
347:347
624:2x 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 3x 13x 347 = 27066
Therefore, the value for common factors is 27066.
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 = 41023827936/(1x27066)
LCM = 41023827936/27066
LCM = 1515696
Thus, we can understand that the LCM of 694,273,347,624 is 1515696.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 694, 273, 347, 624?
Answer: LCM of 694, 273, 347, 624 is 1515696.
2. How to calculate the LCM of 694, 273, 347, 624?
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 694, 273, 347, 624.
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}.