LCM of 662, 767, 210, 605, 737
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 662, 767, 210, 605, 737 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 662, 767, 210, 605, 737. So, keep reading to learn more.
Given numbers are 662,767,210,605,737
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 662,767,210,605,737 is 432217976190.
Find LCM of 662,767,210,605,737 with Prime Factorization
| 2 | 662, 767, 210, 605, 737 |
| 5 | 331, 767, 105, 605, 737 |
| 11 | 331, 767, 21, 121, 737 |
| 331, 767, 21, 11, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 331 x 767 x 21 x 11 x 67 = 432217976190
Therefore, the lowest common multiple of 662,767,210,605,737 is 432217976190.
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.
662 x 767 x 210 x 605 x 737 = 47543977380900
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.
662 : 1, 2, 331, 662
767 : 1, 13, 59, 767
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
605 : 1, 5, 11, 55, 121, 605
737 : 1, 11, 67, 737
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 662,767,210,605,737, is 1.
Now, the common factors can be found like this.
662:2x 331
767:13x 59
210:2x 3x 5x 7
605:5x 11x 11
737:11x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11 = 110
Therefore, the value for common factors is 110.
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 = 47543977380900/(1x110)
LCM = 47543977380900/110
LCM = 432217976190
Thus, we can understand that the LCM of 662,767,210,605,737 is 432217976190.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 662, 767, 210, 605, 737
1. What is the LCM of 662, 767, 210, 605, 737?
Answer: LCM of 662, 767, 210, 605, 737 is 432217976190.
2. How to calculate the LCM of 662, 767, 210, 605, 737?
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 662, 767, 210, 605, 737.
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}.