Find the LCM of 599, 138, 276, 758 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 599, 138, 276, 758. So, keep reading to learn more.
Given numbers are 599,138,276,758
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 599,138,276,758 is 62657796.
Find LCM of 599,138,276,758 with Prime Factorization
2 | 599, 138, 276, 758 |
3 | 599, 69, 138, 379 |
23 | 599, 23, 46, 379 |
599, 1, 2, 379 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 599 x 1 x 2 x 379 = 62657796
Therefore, the lowest common multiple of 599,138,276,758 is 62657796.
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.
599 x 138 x 276 x 758 = 17293551696
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.
599 : 1, 599
138 : 1, 2, 3, 6, 23, 46, 69, 138
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
758 : 1, 2, 379, 758
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 599,138,276,758, is 1.
Now, the common factors can be found like this.
599:599
138:2x 3x 23
276:2x 2x 3x 23
758:2x 379
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 3x 23 = 276
Therefore, the value for common factors is 276.
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 = 17293551696/(1x276)
LCM = 17293551696/276
LCM = 62657796
Thus, we can understand that the LCM of 599,138,276,758 is 62657796.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 599, 138, 276, 758?
Answer: LCM of 599, 138, 276, 758 is 62657796.
2. How to calculate the LCM of 599, 138, 276, 758?
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 599, 138, 276, 758.
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}.