LCM of 870, 265, 705, 971, 375
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 870, 265, 705, 971, 375 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 870, 265, 705, 971, 375. So, keep reading to learn more.
Given numbers are 870,265,705,971,375
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 870,265,705,971,375 is 52608051750.
Find LCM of 870,265,705,971,375 with Prime Factorization
| 3 | 870, 265, 705, 971, 375 |
| 5 | 290, 265, 235, 971, 125 |
| 58, 53, 47, 971, 25 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 58 x 53 x 47 x 971 x 25 = 52608051750
Therefore, the lowest common multiple of 870,265,705,971,375 is 52608051750.
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.
870 x 265 x 705 x 971 x 375 = 59184058218750
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.
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
265 : 1, 5, 53, 265
705 : 1, 3, 5, 15, 47, 141, 235, 705
971 : 1, 971
375 : 1, 3, 5, 15, 25, 75, 125, 375
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,265,705,971,375, is 1.
Now, the common factors can be found like this.
870:2x 3x 5x 29
265:5x 53
705:3x 5x 47
971:971
375:3x 5x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 5x 5 = 1125
Therefore, the value for common factors is 1125.
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 = 59184058218750/(1x1125)
LCM = 59184058218750/1125
LCM = 52608051750
Thus, we can understand that the LCM of 870,265,705,971,375 is 52608051750.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 870, 265, 705, 971, 375
1. What is the LCM of 870, 265, 705, 971, 375?
Answer: LCM of 870, 265, 705, 971, 375 is 52608051750.
2. How to calculate the LCM of 870, 265, 705, 971, 375?
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 870, 265, 705, 971, 375.
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}.