Find the LCM of 698, 518, 637, 441, 126 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 698, 518, 637, 441, 126. So, keep reading to learn more.
Given numbers are 698,518,637,441,126
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 698,518,637,441,126 is 148060458.
Find LCM of 698,518,637,441,126 with Prime Factorization
2 | 698, 518, 637, 441, 126 |
3 | 349, 259, 637, 441, 63 |
3 | 349, 259, 637, 147, 21 |
7 | 349, 259, 637, 49, 7 |
7 | 349, 37, 91, 1, 7 |
349, 37, 13, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 7 x 349 x 37 x 13 x 1 x 1 = 148060458
Therefore, the lowest common multiple of 698,518,637,441,126 is 148060458.
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.
698 x 518 x 637 x 441 x 126 = 12797753747688
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.
698 : 1, 2, 349, 698
518 : 1, 2, 7, 14, 37, 74, 259, 518
637 : 1, 7, 13, 49, 91, 637
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,518,637,441,126, is 1.
Now, the common factors can be found like this.
698:2x 349
518:2x 7x 37
637:7x 7x 13
441:3x 3x 7x 7
126:2x 3x 3x 7
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 3x 3x 7x 7x 7x 7 = 86436
Therefore, the value for common factors is 86436.
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 = 12797753747688/(1x86436)
LCM = 12797753747688/86436
LCM = 148060458
Thus, we can understand that the LCM of 698,518,637,441,126 is 148060458.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 698, 518, 637, 441, 126?
Answer: LCM of 698, 518, 637, 441, 126 is 148060458.
2. How to calculate the LCM of 698, 518, 637, 441, 126?
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 698, 518, 637, 441, 126.
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}.