LCM of 749, 409, 969, 466, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 749, 409, 969, 466, 714 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, 409, 969, 466, 714. So, keep reading to learn more.
Given numbers are 749,409,969,466,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,409,969,466,714 is 138329503914.
Find LCM of 749,409,969,466,714 with Prime Factorization
| 2 | 749, 409, 969, 466, 714 |
| 3 | 749, 409, 969, 233, 357 |
| 7 | 749, 409, 323, 233, 119 |
| 17 | 107, 409, 323, 233, 17 |
| 107, 409, 19, 233, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 107 x 409 x 19 x 233 x 1 = 138329503914
Therefore, the lowest common multiple of 749,409,969,466,714 is 138329503914.
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 409 x 969 x 466 x 714 = 98767265794596
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
409 : 1, 409
969 : 1, 3, 17, 19, 51, 57, 323, 969
466 : 1, 2, 233, 466
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,409,969,466,714, is 1.
Now, the common factors can be found like this.
749:7x 107
409:409
969:3x 17x 19
466:2x 233
714:2x 3x 7x 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 3x 7x 17 = 714
Therefore, the value for common factors is 714.
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 = 98767265794596/(1x714)
LCM = 98767265794596/714
LCM = 138329503914
Thus, we can understand that the LCM of 749,409,969,466,714 is 138329503914.
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FAQs on LCM of 749, 409, 969, 466, 714
1. What is the LCM of 749, 409, 969, 466, 714?
Answer: LCM of 749, 409, 969, 466, 714 is 138329503914.
2. How to calculate the LCM of 749, 409, 969, 466, 714?
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, 409, 969, 466, 714.
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}.