LCM of 759, 416, 611, 884, 588
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 759, 416, 611, 884, 588 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 759, 416, 611, 884, 588. So, keep reading to learn more.
Given numbers are 759,416,611,884,588
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 759,416,611,884,588 is 12361693344.
Find LCM of 759,416,611,884,588 with Prime Factorization
| 2 | 759, 416, 611, 884, 588 |
| 2 | 759, 208, 611, 442, 294 |
| 3 | 759, 104, 611, 221, 147 |
| 13 | 253, 104, 611, 221, 49 |
| 253, 8, 47, 17, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 253 x 8 x 47 x 17 x 49 = 12361693344
Therefore, the lowest common multiple of 759,416,611,884,588 is 12361693344.
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.
759 x 416 x 611 x 884 x 588 = 100278056406528
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.
759 : 1, 3, 11, 23, 33, 69, 253, 759
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
611 : 1, 13, 47, 611
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,416,611,884,588, is 1.
Now, the common factors can be found like this.
759:3x 11x 23
416:2x 2x 2x 2x 2x 13
611:13x 47
884:2x 2x 13x 17
588:2x 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 2x 3x 13x 13 = 8112
Therefore, the value for common factors is 8112.
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 = 100278056406528/(1x8112)
LCM = 100278056406528/8112
LCM = 12361693344
Thus, we can understand that the LCM of 759,416,611,884,588 is 12361693344.
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FAQs on LCM of 759, 416, 611, 884, 588
1. What is the LCM of 759, 416, 611, 884, 588?
Answer: LCM of 759, 416, 611, 884, 588 is 12361693344.
2. How to calculate the LCM of 759, 416, 611, 884, 588?
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 759, 416, 611, 884, 588.
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}.