Find the LCM of 358, 969, 602, 713 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 358, 969, 602, 713. So, keep reading to learn more.
Given numbers are 358,969,602,713
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 358,969,602,713 is 74449678926.
Find LCM of 358,969,602,713 with Prime Factorization
2 | 358, 969, 602, 713 |
179, 969, 301, 713 |
Multiply the prime numbers at the bottom and the left side.
2 x 179 x 969 x 301 x 713 = 74449678926
Therefore, the lowest common multiple of 358,969,602,713 is 74449678926.
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.
358 x 969 x 602 x 713 = 148899357852
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.
358 : 1, 2, 179, 358
969 : 1, 3, 17, 19, 51, 57, 323, 969
602 : 1, 2, 7, 14, 43, 86, 301, 602
713 : 1, 23, 31, 713
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,969,602,713, is 1.
Now, the common factors can be found like this.
358:2x 179
969:3x 17x 19
602:2x 7x 43
713:23x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 148899357852/(1x2)
LCM = 148899357852/2
LCM = 74449678926
Thus, we can understand that the LCM of 358,969,602,713 is 74449678926.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 358, 969, 602, 713?
Answer: LCM of 358, 969, 602, 713 is 74449678926.
2. How to calculate the LCM of 358, 969, 602, 713?
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 358, 969, 602, 713.
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}.