Find the LCM of 702, 628, 592, 374, 931 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 702, 628, 592, 374, 931. So, keep reading to learn more.
Given numbers are 702,628,592,374,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 702,628,592,374,931 is 5679626320368.
Find LCM of 702,628,592,374,931 with Prime Factorization
2 | 702, 628, 592, 374, 931 |
2 | 351, 314, 296, 187, 931 |
351, 157, 148, 187, 931 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 351 x 157 x 148 x 187 x 931 = 5679626320368
Therefore, the lowest common multiple of 702,628,592,374,931 is 5679626320368.
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.
702 x 628 x 592 x 374 x 931 = 90874021125888
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.
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
628 : 1, 2, 4, 157, 314, 628
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
374 : 1, 2, 11, 17, 22, 34, 187, 374
931 : 1, 7, 19, 49, 133, 931
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,628,592,374,931, is 1.
Now, the common factors can be found like this.
702:2x 3x 3x 3x 13
628:2x 2x 157
592:2x 2x 2x 2x 37
374:2x 11x 17
931:7x 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 2x 2 = 16
Therefore, the value for common factors is 16.
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 = 90874021125888/(1x16)
LCM = 90874021125888/16
LCM = 5679626320368
Thus, we can understand that the LCM of 702,628,592,374,931 is 5679626320368.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 702, 628, 592, 374, 931?
Answer: LCM of 702, 628, 592, 374, 931 is 5679626320368.
2. How to calculate the LCM of 702, 628, 592, 374, 931?
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 702, 628, 592, 374, 931.
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}.