Find the LCM of 893, 721, 770, 572, 266 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 893, 721, 770, 572, 266. So, keep reading to learn more.
Given numbers are 893,721,770,572,266
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,721,770,572,266 is 1841419580.
Find LCM of 893,721,770,572,266 with Prime Factorization
2 | 893, 721, 770, 572, 266 |
7 | 893, 721, 385, 286, 133 |
11 | 893, 103, 55, 286, 19 |
19 | 893, 103, 5, 26, 19 |
47, 103, 5, 26, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 19 x 47 x 103 x 5 x 26 x 1 = 1841419580
Therefore, the lowest common multiple of 893,721,770,572,266 is 1841419580.
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.
893 x 721 x 770 x 572 x 266 = 75431911675120
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.
893 : 1, 19, 47, 893
721 : 1, 7, 103, 721
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
266 : 1, 2, 7, 14, 19, 38, 133, 266
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,721,770,572,266, is 1.
Now, the common factors can be found like this.
893:19x 47
721:7x 103
770:2x 5x 7x 11
572:2x 2x 11x 13
266:2x 7x 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 7x 7x 11x 19 = 40964
Therefore, the value for common factors is 40964.
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 = 75431911675120/(1x40964)
LCM = 75431911675120/40964
LCM = 1841419580
Thus, we can understand that the LCM of 893,721,770,572,266 is 1841419580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 893, 721, 770, 572, 266?
Answer: LCM of 893, 721, 770, 572, 266 is 1841419580.
2. How to calculate the LCM of 893, 721, 770, 572, 266?
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 893, 721, 770, 572, 266.
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}.