LCM of 287, 965, 350, 726, 688
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 287, 965, 350, 726, 688 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 287, 965, 350, 726, 688. So, keep reading to learn more.
Given numbers are 287,965,350,726,688
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 287,965,350,726,688 is 345839247600.
Find LCM of 287,965,350,726,688 with Prime Factorization
| 2 | 287, 965, 350, 726, 688 |
| 5 | 287, 965, 175, 363, 344 |
| 7 | 287, 193, 35, 363, 344 |
| 41, 193, 5, 363, 344 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 41 x 193 x 5 x 363 x 344 = 345839247600
Therefore, the lowest common multiple of 287,965,350,726,688 is 345839247600.
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.
287 x 965 x 350 x 726 x 688 = 48417494664000
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.
287 : 1, 7, 41, 287
965 : 1, 5, 193, 965
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,965,350,726,688, is 1.
Now, the common factors can be found like this.
287:7x 41
965:5x 193
350:2x 5x 5x 7
726:2x 3x 11x 11
688:2x 2x 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 5x 7 = 140
Therefore, the value for common factors is 140.
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 = 48417494664000/(1x140)
LCM = 48417494664000/140
LCM = 345839247600
Thus, we can understand that the LCM of 287,965,350,726,688 is 345839247600.
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FAQs on LCM of 287, 965, 350, 726, 688
1. What is the LCM of 287, 965, 350, 726, 688?
Answer: LCM of 287, 965, 350, 726, 688 is 345839247600.
2. How to calculate the LCM of 287, 965, 350, 726, 688?
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 287, 965, 350, 726, 688.
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}.