LCM of 674, 272, 544, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 674, 272, 544, 969 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 674, 272, 544, 969. So, keep reading to learn more.
Given numbers are 674,272,544,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 674,272,544,969 is 10449696.
Find LCM of 674,272,544,969 with Prime Factorization
| 2 | 674, 272, 544, 969 |
| 2 | 337, 136, 272, 969 |
| 2 | 337, 68, 136, 969 |
| 2 | 337, 34, 68, 969 |
| 17 | 337, 17, 34, 969 |
| 337, 1, 2, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 17 x 337 x 1 x 2 x 57 = 10449696
Therefore, the lowest common multiple of 674,272,544,969 is 10449696.
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.
674 x 272 x 544 x 969 = 96638788608
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.
674 : 1, 2, 337, 674
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,272,544,969, is 1.
Now, the common factors can be found like this.
674:2x 337
272:2x 2x 2x 2x 17
544:2x 2x 2x 2x 2x 17
969:3x 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 2x 2x 2x 2x 17x 17 = 9248
Therefore, the value for common factors is 9248.
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 = 96638788608/(1x9248)
LCM = 96638788608/9248
LCM = 10449696
Thus, we can understand that the LCM of 674,272,544,969 is 10449696.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 674, 272, 544, 969
1. What is the LCM of 674, 272, 544, 969?
Answer: LCM of 674, 272, 544, 969 is 10449696.
2. How to calculate the LCM of 674, 272, 544, 969?
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 674, 272, 544, 969.
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}.