Find the LCM of 722, 971, 676, 578 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, 971, 676, 578. So, keep reading to learn more.
Given numbers are 722,971,676,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,971,676,578 is 68481138284.
Find LCM of 722,971,676,578 with Prime Factorization
2 | 722, 971, 676, 578 |
361, 971, 338, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 361 x 971 x 338 x 289 = 68481138284
Therefore, the lowest common multiple of 722,971,676,578 is 68481138284.
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 971 x 676 x 578 = 273924553136
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
971 : 1, 971
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,971,676,578, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
971:971
676:2x 2x 13x 13
578:2x 17x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 273924553136/(1x4)
LCM = 273924553136/4
LCM = 68481138284
Thus, we can understand that the LCM of 722,971,676,578 is 68481138284.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 722, 971, 676, 578?
Answer: LCM of 722, 971, 676, 578 is 68481138284.
2. How to calculate the LCM of 722, 971, 676, 578?
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, 971, 676, 578.
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}.