LCM of 978, 264, 429, 833, 332
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 264, 429, 833, 332 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 978, 264, 429, 833, 332. So, keep reading to learn more.
Given numbers are 978,264,429,833,332
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,264,429,833,332 is 38677462824.
Find LCM of 978,264,429,833,332 with Prime Factorization
| 2 | 978, 264, 429, 833, 332 |
| 2 | 489, 132, 429, 833, 166 |
| 3 | 489, 66, 429, 833, 83 |
| 11 | 163, 22, 143, 833, 83 |
| 163, 2, 13, 833, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 163 x 2 x 13 x 833 x 83 = 38677462824
Therefore, the lowest common multiple of 978,264,429,833,332 is 38677462824.
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.
978 x 264 x 429 x 833 x 332 = 30632550556608
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.
978 : 1, 2, 3, 6, 163, 326, 489, 978
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
429 : 1, 3, 11, 13, 33, 39, 143, 429
833 : 1, 7, 17, 49, 119, 833
332 : 1, 2, 4, 83, 166, 332
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,264,429,833,332, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
264:2x 2x 2x 3x 11
429:3x 11x 13
833:7x 7x 17
332:2x 2x 83
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 3x 3x 11 = 792
Therefore, the value for common factors is 792.
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 = 30632550556608/(1x792)
LCM = 30632550556608/792
LCM = 38677462824
Thus, we can understand that the LCM of 978,264,429,833,332 is 38677462824.
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FAQs on LCM of 978, 264, 429, 833, 332
1. What is the LCM of 978, 264, 429, 833, 332?
Answer: LCM of 978, 264, 429, 833, 332 is 38677462824.
2. How to calculate the LCM of 978, 264, 429, 833, 332?
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 978, 264, 429, 833, 332.
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}.