LCM of 901, 978, 748, 559, 172
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 901, 978, 748, 559, 172 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 901, 978, 748, 559, 172. So, keep reading to learn more.
Given numbers are 901,978,748,559,172
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 901,978,748,559,172 is 10836727044.
Find LCM of 901,978,748,559,172 with Prime Factorization
| 2 | 901, 978, 748, 559, 172 |
| 2 | 901, 489, 374, 559, 86 |
| 17 | 901, 489, 187, 559, 43 |
| 43 | 53, 489, 11, 559, 43 |
| 53, 489, 11, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 43 x 53 x 489 x 11 x 13 x 1 = 10836727044
Therefore, the lowest common multiple of 901,978,748,559,172 is 10836727044.
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.
901 x 978 x 748 x 559 x 172 = 63373179753312
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.
901 : 1, 17, 53, 901
978 : 1, 2, 3, 6, 163, 326, 489, 978
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
559 : 1, 13, 43, 559
172 : 1, 2, 4, 43, 86, 172
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,978,748,559,172, is 1.
Now, the common factors can be found like this.
901:17x 53
978:2x 3x 163
748:2x 2x 11x 17
559:13x 43
172:2x 2x 43
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 17x 43 = 5848
Therefore, the value for common factors is 5848.
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 = 63373179753312/(1x5848)
LCM = 63373179753312/5848
LCM = 10836727044
Thus, we can understand that the LCM of 901,978,748,559,172 is 10836727044.
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FAQs on LCM of 901, 978, 748, 559, 172
1. What is the LCM of 901, 978, 748, 559, 172?
Answer: LCM of 901, 978, 748, 559, 172 is 10836727044.
2. How to calculate the LCM of 901, 978, 748, 559, 172?
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 901, 978, 748, 559, 172.
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}.