LCM of 435, 760, 781, 319, 471
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 435, 760, 781, 319, 471 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 435, 760, 781, 319, 471. So, keep reading to learn more.
Given numbers are 435,760,781,319,471
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 435,760,781,319,471 is 8107436040.
Find LCM of 435,760,781,319,471 with Prime Factorization
| 3 | 435, 760, 781, 319, 471 |
| 5 | 145, 760, 781, 319, 157 |
| 11 | 29, 152, 781, 319, 157 |
| 29 | 29, 152, 71, 29, 157 |
| 1, 152, 71, 1, 157 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 29 x 1 x 152 x 71 x 1 x 157 = 8107436040
Therefore, the lowest common multiple of 435,760,781,319,471 is 8107436040.
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.
435 x 760 x 781 x 319 x 471 = 38794081451400
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.
435 : 1, 3, 5, 15, 29, 87, 145, 435
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
781 : 1, 11, 71, 781
319 : 1, 11, 29, 319
471 : 1, 3, 157, 471
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 435,760,781,319,471, is 1.
Now, the common factors can be found like this.
435:3x 5x 29
760:2x 2x 2x 5x 19
781:11x 71
319:11x 29
471:3x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 11x 29 = 4785
Therefore, the value for common factors is 4785.
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 = 38794081451400/(1x4785)
LCM = 38794081451400/4785
LCM = 8107436040
Thus, we can understand that the LCM of 435,760,781,319,471 is 8107436040.
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FAQs on LCM of 435, 760, 781, 319, 471
1. What is the LCM of 435, 760, 781, 319, 471?
Answer: LCM of 435, 760, 781, 319, 471 is 8107436040.
2. How to calculate the LCM of 435, 760, 781, 319, 471?
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 435, 760, 781, 319, 471.
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}.