LCM of 762, 556, 556, 907
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 556, 556, 907 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 762, 556, 556, 907. So, keep reading to learn more.
Given numbers are 762,556,556,907
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,556,556,907 is 192135252.
Find LCM of 762,556,556,907 with Prime Factorization
| 2 | 762, 556, 556, 907 |
| 2 | 381, 278, 278, 907 |
| 139 | 381, 139, 139, 907 |
| 381, 1, 1, 907 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 139 x 381 x 1 x 1 x 907 = 192135252
Therefore, the lowest common multiple of 762,556,556,907 is 192135252.
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.
762 x 556 x 556 x 907 = 213654400224
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
556 : 1, 2, 4, 139, 278, 556
556 : 1, 2, 4, 139, 278, 556
907 : 1, 907
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,556,556,907, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
556:2x 2x 139
556:2x 2x 139
907:907
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 2x 139 = 1112
Therefore, the value for common factors is 1112.
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 = 213654400224/(1x1112)
LCM = 213654400224/1112
LCM = 192135252
Thus, we can understand that the LCM of 762,556,556,907 is 192135252.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 762, 556, 556, 907
1. What is the LCM of 762, 556, 556, 907?
Answer: LCM of 762, 556, 556, 907 is 192135252.
2. How to calculate the LCM of 762, 556, 556, 907?
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 762, 556, 556, 907.
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}.