LCM of 749, 754, 965, 551, 646
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 749, 754, 965, 551, 646 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 749, 754, 965, 551, 646. So, keep reading to learn more.
Given numbers are 749,754,965,551,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,754,965,551,646 is 176028504470.
Find LCM of 749,754,965,551,646 with Prime Factorization
| 2 | 749, 754, 965, 551, 646 |
| 19 | 749, 377, 965, 551, 323 |
| 29 | 749, 377, 965, 29, 17 |
| 749, 13, 965, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 29 x 749 x 13 x 965 x 1 x 17 = 176028504470
Therefore, the lowest common multiple of 749,754,965,551,646 is 176028504470.
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.
749 x 754 x 965 x 551 x 646 = 193983411925940
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.
749 : 1, 7, 107, 749
754 : 1, 2, 13, 26, 29, 58, 377, 754
965 : 1, 5, 193, 965
551 : 1, 19, 29, 551
646 : 1, 2, 17, 19, 34, 38, 323, 646
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,754,965,551,646, is 1.
Now, the common factors can be found like this.
749:7x 107
754:2x 13x 29
965:5x 193
551:19x 29
646:2x 17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19x 29 = 1102
Therefore, the value for common factors is 1102.
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 = 193983411925940/(1x1102)
LCM = 193983411925940/1102
LCM = 176028504470
Thus, we can understand that the LCM of 749,754,965,551,646 is 176028504470.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 749, 754, 965, 551, 646
1. What is the LCM of 749, 754, 965, 551, 646?
Answer: LCM of 749, 754, 965, 551, 646 is 176028504470.
2. How to calculate the LCM of 749, 754, 965, 551, 646?
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 749, 754, 965, 551, 646.
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}.