LCM of 737, 550, 689, 402, 766
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 737, 550, 689, 402, 766 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 737, 550, 689, 402, 766. So, keep reading to learn more.
Given numbers are 737,550,689,402,766
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,550,689,402,766 is 29172707850.
Find LCM of 737,550,689,402,766 with Prime Factorization
| 2 | 737, 550, 689, 402, 766 |
| 11 | 737, 275, 689, 201, 383 |
| 67 | 67, 25, 689, 201, 383 |
| 1, 25, 689, 3, 383 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 67 x 1 x 25 x 689 x 3 x 383 = 29172707850
Therefore, the lowest common multiple of 737,550,689,402,766 is 29172707850.
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.
737 x 550 x 689 x 402 x 766 = 86001142741800
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.
737 : 1, 11, 67, 737
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
689 : 1, 13, 53, 689
402 : 1, 2, 3, 6, 67, 134, 201, 402
766 : 1, 2, 383, 766
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,550,689,402,766, is 1.
Now, the common factors can be found like this.
737:11x 67
550:2x 5x 5x 11
689:13x 53
402:2x 3x 67
766:2x 383
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 11x 67 = 2948
Therefore, the value for common factors is 2948.
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 = 86001142741800/(1x2948)
LCM = 86001142741800/2948
LCM = 29172707850
Thus, we can understand that the LCM of 737,550,689,402,766 is 29172707850.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 737, 550, 689, 402, 766
1. What is the LCM of 737, 550, 689, 402, 766?
Answer: LCM of 737, 550, 689, 402, 766 is 29172707850.
2. How to calculate the LCM of 737, 550, 689, 402, 766?
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 737, 550, 689, 402, 766.
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}.