LCM of 761, 582, 748, 671, 610
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 761, 582, 748, 671, 610 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 761, 582, 748, 671, 610. So, keep reading to learn more.
Given numbers are 761,582,748,671,610
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 761,582,748,671,610 is 50521831140.
Find LCM of 761,582,748,671,610 with Prime Factorization
| 2 | 761, 582, 748, 671, 610 |
| 11 | 761, 291, 374, 671, 305 |
| 61 | 761, 291, 34, 61, 305 |
| 761, 291, 34, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 61 x 761 x 291 x 34 x 1 x 5 = 50521831140
Therefore, the lowest common multiple of 761,582,748,671,610 is 50521831140.
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.
761 x 582 x 748 x 671 x 610 = 135600594779760
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.
761 : 1, 761
582 : 1, 2, 3, 6, 97, 194, 291, 582
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
671 : 1, 11, 61, 671
610 : 1, 2, 5, 10, 61, 122, 305, 610
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 761,582,748,671,610, is 1.
Now, the common factors can be found like this.
761:761
582:2x 3x 97
748:2x 2x 11x 17
671:11x 61
610:2x 5x 61
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 11x 61 = 2684
Therefore, the value for common factors is 2684.
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 = 135600594779760/(1x2684)
LCM = 135600594779760/2684
LCM = 50521831140
Thus, we can understand that the LCM of 761,582,748,671,610 is 50521831140.
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FAQs on LCM of 761, 582, 748, 671, 610
1. What is the LCM of 761, 582, 748, 671, 610?
Answer: LCM of 761, 582, 748, 671, 610 is 50521831140.
2. How to calculate the LCM of 761, 582, 748, 671, 610?
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 761, 582, 748, 671, 610.
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}.