Find the LCM of 771, 146, 257, 460, 759 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 771, 146, 257, 460, 759. So, keep reading to learn more.
Given numbers are 771,146,257,460,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 771,146,257,460,759 is 284791980.
Find LCM of 771,146,257,460,759 with Prime Factorization
2 | 771, 146, 257, 460, 759 |
3 | 771, 73, 257, 230, 759 |
23 | 257, 73, 257, 230, 253 |
257 | 257, 73, 257, 10, 11 |
1, 73, 1, 10, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 257 x 1 x 73 x 1 x 10 x 11 = 284791980
Therefore, the lowest common multiple of 771,146,257,460,759 is 284791980.
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.
771 x 146 x 257 x 460 x 759 = 10100432362680
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.
771 : 1, 3, 257, 771
146 : 1, 2, 73, 146
257 : 1, 257
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
759 : 1, 3, 11, 23, 33, 69, 253, 759
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,146,257,460,759, is 1.
Now, the common factors can be found like this.
771:3x 257
146:2x 73
257:257
460:2x 2x 5x 23
759:3x 11x 23
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 23x 257 = 35466
Therefore, the value for common factors is 35466.
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 = 10100432362680/(1x35466)
LCM = 10100432362680/35466
LCM = 284791980
Thus, we can understand that the LCM of 771,146,257,460,759 is 284791980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 771, 146, 257, 460, 759?
Answer: LCM of 771, 146, 257, 460, 759 is 284791980.
2. How to calculate the LCM of 771, 146, 257, 460, 759?
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 771, 146, 257, 460, 759.
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}.