LCM of 971, 572, 298, 164
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 971, 572, 298, 164 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 971, 572, 298, 164. So, keep reading to learn more.
Given numbers are 971,572,298,164
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 971,572,298,164 is 3393011908.
Find LCM of 971,572,298,164 with Prime Factorization
| 2 | 971, 572, 298, 164 |
| 2 | 971, 286, 149, 82 |
| 971, 143, 149, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 971 x 143 x 149 x 41 = 3393011908
Therefore, the lowest common multiple of 971,572,298,164 is 3393011908.
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.
971 x 572 x 298 x 164 = 27144095264
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.
971 : 1, 971
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
298 : 1, 2, 149, 298
164 : 1, 2, 4, 41, 82, 164
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,572,298,164, is 1.
Now, the common factors can be found like this.
971:971
572:2x 2x 11x 13
298:2x 149
164:2x 2x 41
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 2 = 8
Therefore, the value for common factors is 8.
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 = 27144095264/(1x8)
LCM = 27144095264/8
LCM = 3393011908
Thus, we can understand that the LCM of 971,572,298,164 is 3393011908.
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FAQs on LCM of 971, 572, 298, 164
1. What is the LCM of 971, 572, 298, 164?
Answer: LCM of 971, 572, 298, 164 is 3393011908.
2. How to calculate the LCM of 971, 572, 298, 164?
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 971, 572, 298, 164.
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}.