LCM of 960, 436, 739, 688, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 960, 436, 739, 688, 946 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 960, 436, 739, 688, 946. So, keep reading to learn more.
Given numbers are 960,436,739,688,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 960,436,739,688,946 is 36576598080.
Find LCM of 960,436,739,688,946 with Prime Factorization
| 2 | 960, 436, 739, 688, 946 |
| 2 | 480, 218, 739, 344, 473 |
| 2 | 240, 109, 739, 172, 473 |
| 2 | 120, 109, 739, 86, 473 |
| 43 | 60, 109, 739, 43, 473 |
| 60, 109, 739, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 43 x 60 x 109 x 739 x 1 x 11 = 36576598080
Therefore, the lowest common multiple of 960,436,739,688,946 is 36576598080.
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.
960 x 436 x 739 x 688 x 946 = 201317595832320
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.
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
436 : 1, 2, 4, 109, 218, 436
739 : 1, 739
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,436,739,688,946, is 1.
Now, the common factors can be found like this.
960:2x 2x 2x 2x 2x 2x 3x 5
436:2x 2x 109
739:739
688:2x 2x 2x 2x 43
946:2x 11x 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 2x 2x 2x 2x 2x 43 = 5504
Therefore, the value for common factors is 5504.
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 = 201317595832320/(1x5504)
LCM = 201317595832320/5504
LCM = 36576598080
Thus, we can understand that the LCM of 960,436,739,688,946 is 36576598080.
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FAQs on LCM of 960, 436, 739, 688, 946
1. What is the LCM of 960, 436, 739, 688, 946?
Answer: LCM of 960, 436, 739, 688, 946 is 36576598080.
2. How to calculate the LCM of 960, 436, 739, 688, 946?
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 960, 436, 739, 688, 946.
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}.