Find the LCM of 748, 970, 628, 289, 770 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 748, 970, 628, 289, 770. So, keep reading to learn more.
Given numbers are 748,970,628,289,770
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,970,628,289,770 is 6777818740.
Find LCM of 748,970,628,289,770 with Prime Factorization
2 | 748, 970, 628, 289, 770 |
2 | 374, 485, 314, 289, 385 |
5 | 187, 485, 157, 289, 385 |
11 | 187, 97, 157, 289, 77 |
17 | 17, 97, 157, 289, 7 |
1, 97, 157, 17, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 17 x 1 x 97 x 157 x 17 x 7 = 6777818740
Therefore, the lowest common multiple of 748,970,628,289,770 is 6777818740.
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.
748 x 970 x 628 x 289 x 770 = 101396168350400
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.
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
970 : 1, 2, 5, 10, 97, 194, 485, 970
628 : 1, 2, 4, 157, 314, 628
289 : 1, 17, 289
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,970,628,289,770, is 1.
Now, the common factors can be found like this.
748:2x 2x 11x 17
970:2x 5x 97
628:2x 2x 157
289:17x 17
770:2x 5x 7x 11
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 5x 11x 17 = 14960
Therefore, the value for common factors is 14960.
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 = 101396168350400/(1x14960)
LCM = 101396168350400/14960
LCM = 6777818740
Thus, we can understand that the LCM of 748,970,628,289,770 is 6777818740.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 748, 970, 628, 289, 770?
Answer: LCM of 748, 970, 628, 289, 770 is 6777818740.
2. How to calculate the LCM of 748, 970, 628, 289, 770?
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 748, 970, 628, 289, 770.
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}.