LCM of 918, 780, 785, 507, 685
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 918, 780, 785, 507, 685 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 918, 780, 785, 507, 685. So, keep reading to learn more.
Given numbers are 918,780,785,507,685
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 918,780,785,507,685 is 33369492780.
Find LCM of 918,780,785,507,685 with Prime Factorization
| 2 | 918, 780, 785, 507, 685 |
| 3 | 459, 390, 785, 507, 685 |
| 5 | 153, 130, 785, 169, 685 |
| 13 | 153, 26, 157, 169, 137 |
| 153, 2, 157, 13, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 153 x 2 x 157 x 13 x 137 = 33369492780
Therefore, the lowest common multiple of 918,780,785,507,685 is 33369492780.
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.
918 x 780 x 785 x 507 x 685 = 195211532763000
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.
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
785 : 1, 5, 157, 785
507 : 1, 3, 13, 39, 169, 507
685 : 1, 5, 137, 685
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 918,780,785,507,685, is 1.
Now, the common factors can be found like this.
918:2x 3x 3x 3x 17
780:2x 2x 3x 5x 13
785:5x 157
507:3x 13x 13
685:5x 137
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 5x 5x 13 = 5850
Therefore, the value for common factors is 5850.
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 = 195211532763000/(1x5850)
LCM = 195211532763000/5850
LCM = 33369492780
Thus, we can understand that the LCM of 918,780,785,507,685 is 33369492780.
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FAQs on LCM of 918, 780, 785, 507, 685
1. What is the LCM of 918, 780, 785, 507, 685?
Answer: LCM of 918, 780, 785, 507, 685 is 33369492780.
2. How to calculate the LCM of 918, 780, 785, 507, 685?
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 918, 780, 785, 507, 685.
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}.