Find the LCM of 722, 473, 361, 694, 430 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 722, 473, 361, 694, 430. So, keep reading to learn more.
Given numbers are 722,473,361,694,430
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,473,361,694,430 is 592512910.
Find LCM of 722,473,361,694,430 with Prime Factorization
2 | 722, 473, 361, 694, 430 |
19 | 361, 473, 361, 347, 215 |
19 | 19, 473, 19, 347, 215 |
43 | 1, 473, 1, 347, 215 |
1, 11, 1, 347, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 19 x 43 x 1 x 11 x 1 x 347 x 5 = 592512910
Therefore, the lowest common multiple of 722,473,361,694,430 is 592512910.
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.
722 x 473 x 361 x 694 x 430 = 36790311607720
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.
722 : 1, 2, 19, 38, 361, 722
473 : 1, 11, 43, 473
361 : 1, 19, 361
694 : 1, 2, 347, 694
430 : 1, 2, 5, 10, 43, 86, 215, 430
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,473,361,694,430, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
473:11x 43
361:19x 19
694:2x 347
430:2x 5x 43
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 19x 19x 43 = 62092
Therefore, the value for common factors is 62092.
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 = 36790311607720/(1x62092)
LCM = 36790311607720/62092
LCM = 592512910
Thus, we can understand that the LCM of 722,473,361,694,430 is 592512910.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 722, 473, 361, 694, 430?
Answer: LCM of 722, 473, 361, 694, 430 is 592512910.
2. How to calculate the LCM of 722, 473, 361, 694, 430?
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 722, 473, 361, 694, 430.
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}.