Find the LCM of 340, 745, 748, 134, 967 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 340, 745, 748, 134, 967. So, keep reading to learn more.
Given numbers are 340,745,748,134,967
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 340,745,748,134,967 is 36104318140.
Find LCM of 340,745,748,134,967 with Prime Factorization
2 | 340, 745, 748, 134, 967 |
2 | 170, 745, 374, 67, 967 |
5 | 85, 745, 187, 67, 967 |
17 | 17, 149, 187, 67, 967 |
1, 149, 11, 67, 967 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 17 x 1 x 149 x 11 x 67 x 967 = 36104318140
Therefore, the lowest common multiple of 340,745,748,134,967 is 36104318140.
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.
340 x 745 x 748 x 134 x 967 = 24550936335200
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.
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
745 : 1, 5, 149, 745
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
134 : 1, 2, 67, 134
967 : 1, 967
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,745,748,134,967, is 1.
Now, the common factors can be found like this.
340:2x 2x 5x 17
745:5x 149
748:2x 2x 11x 17
134:2x 67
967:967
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 5x 17 = 680
Therefore, the value for common factors is 680.
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 = 24550936335200/(1x680)
LCM = 24550936335200/680
LCM = 36104318140
Thus, we can understand that the LCM of 340,745,748,134,967 is 36104318140.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 340, 745, 748, 134, 967?
Answer: LCM of 340, 745, 748, 134, 967 is 36104318140.
2. How to calculate the LCM of 340, 745, 748, 134, 967?
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 340, 745, 748, 134, 967.
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}.