LCM of 674, 247, 736, 276
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 674, 247, 736, 276 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, 247, 736, 276. So, keep reading to learn more.
Given numbers are 674,247,736,276
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 674,247,736,276 is 183791712.
Find LCM of 674,247,736,276 with Prime Factorization
| 2 | 674, 247, 736, 276 |
| 2 | 337, 247, 368, 138 |
| 23 | 337, 247, 184, 69 |
| 337, 247, 8, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 337 x 247 x 8 x 3 = 183791712
Therefore, the lowest common multiple of 674,247,736,276 is 183791712.
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 247 x 736 x 276 = 33817675008
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
247 : 1, 13, 19, 247
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,247,736,276, is 1.
Now, the common factors can be found like this.
674:2x 337
247:13x 19
736:2x 2x 2x 2x 2x 23
276:2x 2x 3x 23
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 23 = 184
Therefore, the value for common factors is 184.
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 = 33817675008/(1x184)
LCM = 33817675008/184
LCM = 183791712
Thus, we can understand that the LCM of 674,247,736,276 is 183791712.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 674, 247, 736, 276
1. What is the LCM of 674, 247, 736, 276?
Answer: LCM of 674, 247, 736, 276 is 183791712.
2. How to calculate the LCM of 674, 247, 736, 276?
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, 247, 736, 276.
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}.