LCM of 913, 749, 519, 642, 702
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 913, 749, 519, 642, 702 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 913, 749, 519, 642, 702. So, keep reading to learn more.
Given numbers are 913,749,519,642,702
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 913,749,519,642,702 is 83049268302.
Find LCM of 913,749,519,642,702 with Prime Factorization
| 2 | 913, 749, 519, 642, 702 |
| 3 | 913, 749, 519, 321, 351 |
| 107 | 913, 749, 173, 107, 117 |
| 913, 7, 173, 1, 117 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 107 x 913 x 7 x 173 x 1 x 117 = 83049268302
Therefore, the lowest common multiple of 913,749,519,642,702 is 83049268302.
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.
913 x 749 x 519 x 642 x 702 = 159952890749652
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.
913 : 1, 11, 83, 913
749 : 1, 7, 107, 749
519 : 1, 3, 173, 519
642 : 1, 2, 3, 6, 107, 214, 321, 642
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,749,519,642,702, is 1.
Now, the common factors can be found like this.
913:11x 83
749:7x 107
519:3x 173
642:2x 3x 107
702:2x 3x 3x 3x 13
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 3x 107 = 1926
Therefore, the value for common factors is 1926.
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 = 159952890749652/(1x1926)
LCM = 159952890749652/1926
LCM = 83049268302
Thus, we can understand that the LCM of 913,749,519,642,702 is 83049268302.
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FAQs on LCM of 913, 749, 519, 642, 702
1. What is the LCM of 913, 749, 519, 642, 702?
Answer: LCM of 913, 749, 519, 642, 702 is 83049268302.
2. How to calculate the LCM of 913, 749, 519, 642, 702?
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 913, 749, 519, 642, 702.
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}.