LCM of 761, 782, 142, 288, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 761, 782, 142, 288, 510 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, 782, 142, 288, 510. So, keep reading to learn more.
Given numbers are 761,782,142,288,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 761,782,142,288,510 is 30421614240.
Find LCM of 761,782,142,288,510 with Prime Factorization
| 2 | 761, 782, 142, 288, 510 |
| 3 | 761, 391, 71, 144, 255 |
| 17 | 761, 391, 71, 48, 85 |
| 761, 23, 71, 48, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 761 x 23 x 71 x 48 x 5 = 30421614240
Therefore, the lowest common multiple of 761,782,142,288,510 is 30421614240.
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 782 x 142 x 288 x 510 = 12412018609920
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
782 : 1, 2, 17, 23, 34, 46, 391, 782
142 : 1, 2, 71, 142
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 761,782,142,288,510, is 1.
Now, the common factors can be found like this.
761:761
782:2x 17x 23
142:2x 71
288:2x 2x 2x 2x 2x 3x 3
510:2x 3x 5x 17
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 3x 17 = 408
Therefore, the value for common factors is 408.
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 = 12412018609920/(1x408)
LCM = 12412018609920/408
LCM = 30421614240
Thus, we can understand that the LCM of 761,782,142,288,510 is 30421614240.
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FAQs on LCM of 761, 782, 142, 288, 510
1. What is the LCM of 761, 782, 142, 288, 510?
Answer: LCM of 761, 782, 142, 288, 510 is 30421614240.
2. How to calculate the LCM of 761, 782, 142, 288, 510?
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, 782, 142, 288, 510.
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}.