Find the LCM of 770, 193, 279, 740, 899 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 770, 193, 279, 740, 899. So, keep reading to learn more.
Given numbers are 770,193,279,740,899
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,193,279,740,899 is 88977859740.
Find LCM of 770,193,279,740,899 with Prime Factorization
2 | 770, 193, 279, 740, 899 |
5 | 385, 193, 279, 370, 899 |
31 | 77, 193, 279, 74, 899 |
77, 193, 9, 74, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 31 x 77 x 193 x 9 x 74 x 29 = 88977859740
Therefore, the lowest common multiple of 770,193,279,740,899 is 88977859740.
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.
770 x 193 x 279 x 740 x 899 = 27583136519400
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.
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
193 : 1, 193
279 : 1, 3, 9, 31, 93, 279
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
899 : 1, 29, 31, 899
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,193,279,740,899, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
193:193
279:3x 3x 31
740:2x 2x 5x 37
899:29x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 31 = 310
Therefore, the value for common factors is 310.
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 = 27583136519400/(1x310)
LCM = 27583136519400/310
LCM = 88977859740
Thus, we can understand that the LCM of 770,193,279,740,899 is 88977859740.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 770, 193, 279, 740, 899?
Answer: LCM of 770, 193, 279, 740, 899 is 88977859740.
2. How to calculate the LCM of 770, 193, 279, 740, 899?
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 770, 193, 279, 740, 899.
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}.