LCM of 759, 783, 758, 704, 653
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 759, 783, 758, 704, 653 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, 783, 758, 704, 653. So, keep reading to learn more.
Given numbers are 759,783,758,704,653
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 759,783,758,704,653 is 3137723341632.
Find LCM of 759,783,758,704,653 with Prime Factorization
| 2 | 759, 783, 758, 704, 653 |
| 3 | 759, 783, 379, 352, 653 |
| 11 | 253, 261, 379, 352, 653 |
| 23, 261, 379, 32, 653 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 23 x 261 x 379 x 32 x 653 = 3137723341632
Therefore, the lowest common multiple of 759,783,758,704,653 is 3137723341632.
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 783 x 758 x 704 x 653 = 207089740547712
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
783 : 1, 3, 9, 27, 29, 87, 261, 783
758 : 1, 2, 379, 758
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
653 : 1, 653
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,783,758,704,653, is 1.
Now, the common factors can be found like this.
759:3x 11x 23
783:3x 3x 3x 29
758:2x 379
704:2x 2x 2x 2x 2x 2x 11
653:653
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11 = 66
Therefore, the value for common factors is 66.
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 = 207089740547712/(1x66)
LCM = 207089740547712/66
LCM = 3137723341632
Thus, we can understand that the LCM of 759,783,758,704,653 is 3137723341632.
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FAQs on LCM of 759, 783, 758, 704, 653
1. What is the LCM of 759, 783, 758, 704, 653?
Answer: LCM of 759, 783, 758, 704, 653 is 3137723341632.
2. How to calculate the LCM of 759, 783, 758, 704, 653?
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, 783, 758, 704, 653.
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}.