LCM of 598, 420, 692, 169
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 420, 692, 169 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 598, 420, 692, 169. So, keep reading to learn more.
Given numbers are 598,420,692,169
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,420,692,169 is 282429420.
Find LCM of 598,420,692,169 with Prime Factorization
| 2 | 598, 420, 692, 169 |
| 2 | 299, 210, 346, 169 |
| 13 | 299, 105, 173, 169 |
| 23, 105, 173, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 23 x 105 x 173 x 13 = 282429420
Therefore, the lowest common multiple of 598,420,692,169 is 282429420.
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.
598 x 420 x 692 x 169 = 29372659680
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
692 : 1, 2, 4, 173, 346, 692
169 : 1, 13, 169
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,420,692,169, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
420:2x 2x 3x 5x 7
692:2x 2x 173
169:13x 13
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 13 = 104
Therefore, the value for common factors is 104.
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 = 29372659680/(1x104)
LCM = 29372659680/104
LCM = 282429420
Thus, we can understand that the LCM of 598,420,692,169 is 282429420.
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FAQs on LCM of 598, 420, 692, 169
1. What is the LCM of 598, 420, 692, 169?
Answer: LCM of 598, 420, 692, 169 is 282429420.
2. How to calculate the LCM of 598, 420, 692, 169?
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 598, 420, 692, 169.
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}.