LCM of 785, 272, 289, 478, 942
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 785, 272, 289, 478, 942 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 785, 272, 289, 478, 942. So, keep reading to learn more.
Given numbers are 785,272,289,478,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,272,289,478,942 is 2602595280.
Find LCM of 785,272,289,478,942 with Prime Factorization
| 2 | 785, 272, 289, 478, 942 |
| 17 | 785, 136, 289, 239, 471 |
| 157 | 785, 8, 17, 239, 471 |
| 5, 8, 17, 239, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 157 x 5 x 8 x 17 x 239 x 3 = 2602595280
Therefore, the lowest common multiple of 785,272,289,478,942 is 2602595280.
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.
785 x 272 x 289 x 478 x 942 = 27785307209280
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.
785 : 1, 5, 157, 785
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
289 : 1, 17, 289
478 : 1, 2, 239, 478
942 : 1, 2, 3, 6, 157, 314, 471, 942
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,272,289,478,942, is 1.
Now, the common factors can be found like this.
785:5x 157
272:2x 2x 2x 2x 17
289:17x 17
478:2x 239
942:2x 3x 157
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 17x 157 = 10676
Therefore, the value for common factors is 10676.
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 = 27785307209280/(1x10676)
LCM = 27785307209280/10676
LCM = 2602595280
Thus, we can understand that the LCM of 785,272,289,478,942 is 2602595280.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 785, 272, 289, 478, 942
1. What is the LCM of 785, 272, 289, 478, 942?
Answer: LCM of 785, 272, 289, 478, 942 is 2602595280.
2. How to calculate the LCM of 785, 272, 289, 478, 942?
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 785, 272, 289, 478, 942.
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}.