LCM of 169, 497, 432, 845, 670
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 497, 432, 845, 670 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 169, 497, 432, 845, 670. So, keep reading to learn more.
Given numbers are 169,497,432,845,670
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,497,432,845,670 is 12155466960.
Find LCM of 169,497,432,845,670 with Prime Factorization
| 2 | 169, 497, 432, 845, 670 |
| 5 | 169, 497, 216, 845, 335 |
| 13 | 169, 497, 216, 169, 67 |
| 13 | 13, 497, 216, 13, 67 |
| 1, 497, 216, 1, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 13 x 1 x 497 x 216 x 1 x 67 = 12155466960
Therefore, the lowest common multiple of 169,497,432,845,670 is 12155466960.
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.
169 x 497 x 432 x 845 x 670 = 20542739162400
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.
169 : 1, 13, 169
497 : 1, 7, 71, 497
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
845 : 1, 5, 13, 65, 169, 845
670 : 1, 2, 5, 10, 67, 134, 335, 670
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,497,432,845,670, is 1.
Now, the common factors can be found like this.
169:13x 13
497:7x 71
432:2x 2x 2x 2x 3x 3x 3
845:5x 13x 13
670:2x 5x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13x 13 = 1690
Therefore, the value for common factors is 1690.
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 = 20542739162400/(1x1690)
LCM = 20542739162400/1690
LCM = 12155466960
Thus, we can understand that the LCM of 169,497,432,845,670 is 12155466960.
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FAQs on LCM of 169, 497, 432, 845, 670
1. What is the LCM of 169, 497, 432, 845, 670?
Answer: LCM of 169, 497, 432, 845, 670 is 12155466960.
2. How to calculate the LCM of 169, 497, 432, 845, 670?
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 169, 497, 432, 845, 670.
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}.