LCM of 868, 313, 458, 870, 294
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 868, 313, 458, 870, 294 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 868, 313, 458, 870, 294. So, keep reading to learn more.
Given numbers are 868,313,458,870,294
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 868,313,458,870,294 is 189446611620.
Find LCM of 868,313,458,870,294 with Prime Factorization
| 2 | 868, 313, 458, 870, 294 |
| 3 | 434, 313, 229, 435, 147 |
| 7 | 434, 313, 229, 145, 49 |
| 62, 313, 229, 145, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 62 x 313 x 229 x 145 x 7 = 189446611620
Therefore, the lowest common multiple of 868,313,458,870,294 is 189446611620.
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.
868 x 313 x 458 x 870 x 294 = 31827030752160
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.
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
313 : 1, 313
458 : 1, 2, 229, 458
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 868,313,458,870,294, is 1.
Now, the common factors can be found like this.
868:2x 2x 7x 31
313:313
458:2x 229
870:2x 3x 5x 29
294:2x 3x 7x 7
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 7 = 168
Therefore, the value for common factors is 168.
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 = 31827030752160/(1x168)
LCM = 31827030752160/168
LCM = 189446611620
Thus, we can understand that the LCM of 868,313,458,870,294 is 189446611620.
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FAQs on LCM of 868, 313, 458, 870, 294
1. What is the LCM of 868, 313, 458, 870, 294?
Answer: LCM of 868, 313, 458, 870, 294 is 189446611620.
2. How to calculate the LCM of 868, 313, 458, 870, 294?
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 868, 313, 458, 870, 294.
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}.