LCM of 971, 754, 182, 230, 870
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 971, 754, 182, 230, 870 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, 754, 182, 230, 870. So, keep reading to learn more.
Given numbers are 971,754,182,230,870
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 971,754,182,230,870 is 1768103610.
Find LCM of 971,754,182,230,870 with Prime Factorization
| 2 | 971, 754, 182, 230, 870 |
| 5 | 971, 377, 91, 115, 435 |
| 13 | 971, 377, 91, 23, 87 |
| 29 | 971, 29, 7, 23, 87 |
| 971, 1, 7, 23, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 29 x 971 x 1 x 7 x 23 x 3 = 1768103610
Therefore, the lowest common multiple of 971,754,182,230,870 is 1768103610.
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 754 x 182 x 230 x 870 = 26663002438800
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
754 : 1, 2, 13, 26, 29, 58, 377, 754
182 : 1, 2, 7, 13, 14, 26, 91, 182
230 : 1, 2, 5, 10, 23, 46, 115, 230
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,754,182,230,870, is 1.
Now, the common factors can be found like this.
971:971
754:2x 13x 29
182:2x 7x 13
230:2x 5x 23
870:2x 3x 5x 29
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 5x 13x 29 = 15080
Therefore, the value for common factors is 15080.
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 = 26663002438800/(1x15080)
LCM = 26663002438800/15080
LCM = 1768103610
Thus, we can understand that the LCM of 971,754,182,230,870 is 1768103610.
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FAQs on LCM of 971, 754, 182, 230, 870
1. What is the LCM of 971, 754, 182, 230, 870?
Answer: LCM of 971, 754, 182, 230, 870 is 1768103610.
2. How to calculate the LCM of 971, 754, 182, 230, 870?
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, 754, 182, 230, 870.
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}.