LCM of 785, 338, 628, 680, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 785, 338, 628, 680, 748 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 785, 338, 628, 680, 748. So, keep reading to learn more.
Given numbers are 785,338,628,680,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,338,628,680,748 is 198466840.
Find LCM of 785,338,628,680,748 with Prime Factorization
| 2 | 785, 338, 628, 680, 748 |
| 2 | 785, 169, 314, 340, 374 |
| 5 | 785, 169, 157, 170, 187 |
| 17 | 157, 169, 157, 34, 187 |
| 157 | 157, 169, 157, 2, 11 |
| 1, 169, 1, 2, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 17 x 157 x 1 x 169 x 1 x 2 x 11 = 198466840
Therefore, the lowest common multiple of 785,338,628,680,748 is 198466840.
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.
785 x 338 x 628 x 680 x 748 = 84753279353600
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.
785 : 1, 5, 157, 785
338 : 1, 2, 13, 26, 169, 338
628 : 1, 2, 4, 157, 314, 628
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,338,628,680,748, is 1.
Now, the common factors can be found like this.
785:5x 157
338:2x 13x 13
628:2x 2x 157
680:2x 2x 2x 5x 17
748:2x 2x 11x 17
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 2x 5x 17x 157 = 427040
Therefore, the value for common factors is 427040.
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 = 84753279353600/(1x427040)
LCM = 84753279353600/427040
LCM = 198466840
Thus, we can understand that the LCM of 785,338,628,680,748 is 198466840.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 785, 338, 628, 680, 748
1. What is the LCM of 785, 338, 628, 680, 748?
Answer: LCM of 785, 338, 628, 680, 748 is 198466840.
2. How to calculate the LCM of 785, 338, 628, 680, 748?
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 785, 338, 628, 680, 748.
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}.