LCM of 736, 783, 874, 549
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 736, 783, 874, 549 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 736, 783, 874, 549. So, keep reading to learn more.
Given numbers are 736,783,874,549
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,783,874,549 is 667917792.
Find LCM of 736,783,874,549 with Prime Factorization
| 2 | 736, 783, 874, 549 |
| 3 | 368, 783, 437, 549 |
| 3 | 368, 261, 437, 183 |
| 23 | 368, 87, 437, 61 |
| 16, 87, 19, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 23 x 16 x 87 x 19 x 61 = 667917792
Therefore, the lowest common multiple of 736,783,874,549 is 667917792.
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.
736 x 783 x 874 x 549 = 276517965888
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.
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
783 : 1, 3, 9, 27, 29, 87, 261, 783
874 : 1, 2, 19, 23, 38, 46, 437, 874
549 : 1, 3, 9, 61, 183, 549
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,783,874,549, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
783:3x 3x 3x 29
874:2x 19x 23
549:3x 3x 61
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 3x 23 = 414
Therefore, the value for common factors is 414.
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 = 276517965888/(1x414)
LCM = 276517965888/414
LCM = 667917792
Thus, we can understand that the LCM of 736,783,874,549 is 667917792.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 736, 783, 874, 549
1. What is the LCM of 736, 783, 874, 549?
Answer: LCM of 736, 783, 874, 549 is 667917792.
2. How to calculate the LCM of 736, 783, 874, 549?
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 736, 783, 874, 549.
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}.