Find the LCM of 598, 748, 166, 276, 910 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 598, 748, 166, 276, 910. So, keep reading to learn more.
Given numbers are 598,748,166,276,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,748,166,276,910 is 1949127180.
Find LCM of 598,748,166,276,910 with Prime Factorization
2 | 598, 748, 166, 276, 910 |
2 | 299, 374, 83, 138, 455 |
13 | 299, 187, 83, 69, 455 |
23 | 23, 187, 83, 69, 35 |
1, 187, 83, 3, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 23 x 1 x 187 x 83 x 3 x 35 = 1949127180
Therefore, the lowest common multiple of 598,748,166,276,910 is 1949127180.
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.
598 x 748 x 166 x 276 x 910 = 18649248858240
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
166 : 1, 2, 83, 166
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,748,166,276,910, is 2.
Now, the common factors can be found like this.
598:2x 13x 23
748:2x 2x 11x 17
166:2x 83
276:2x 2x 3x 23
910:2x 5x 7x 13
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 2x 13x 23 = 4784
Therefore, the value for common factors is 4784.
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 = 18649248858240/(2x4784)
LCM = 18649248858240/9568
LCM = 1949127180
Thus, we can understand that the LCM of 598,748,166,276,910 is 1949127180.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 598, 748, 166, 276, 910?
Answer: LCM of 598, 748, 166, 276, 910 is 1949127180.
2. How to calculate the LCM of 598, 748, 166, 276, 910?
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 598, 748, 166, 276, 910.
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}.