LCM of 302, 492, 969, 164, 594
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 302, 492, 969, 164, 594 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 302, 492, 969, 164, 594. So, keep reading to learn more.
Given numbers are 302,492,969,164,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 302,492,969,164,594 is 2375635284.
Find LCM of 302,492,969,164,594 with Prime Factorization
| 2 | 302, 492, 969, 164, 594 |
| 2 | 151, 246, 969, 82, 297 |
| 3 | 151, 123, 969, 41, 297 |
| 41 | 151, 41, 323, 41, 99 |
| 151, 1, 323, 1, 99 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 41 x 151 x 1 x 323 x 1 x 99 = 2375635284
Therefore, the lowest common multiple of 302,492,969,164,594 is 2375635284.
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.
302 x 492 x 969 x 164 x 594 = 14025750716736
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.
302 : 1, 2, 151, 302
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
969 : 1, 3, 17, 19, 51, 57, 323, 969
164 : 1, 2, 4, 41, 82, 164
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,492,969,164,594, is 1.
Now, the common factors can be found like this.
302:2x 151
492:2x 2x 3x 41
969:3x 17x 19
164:2x 2x 41
594:2x 3x 3x 3x 11
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 2x 3x 3x 41 = 5904
Therefore, the value for common factors is 5904.
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 = 14025750716736/(1x5904)
LCM = 14025750716736/5904
LCM = 2375635284
Thus, we can understand that the LCM of 302,492,969,164,594 is 2375635284.
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FAQs on LCM of 302, 492, 969, 164, 594
1. What is the LCM of 302, 492, 969, 164, 594?
Answer: LCM of 302, 492, 969, 164, 594 is 2375635284.
2. How to calculate the LCM of 302, 492, 969, 164, 594?
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 302, 492, 969, 164, 594.
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}.