LCM of 942, 670, 531, 501, 670
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 942, 670, 531, 501, 670 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 942, 670, 531, 501, 670. So, keep reading to learn more.
Given numbers are 942,670,531,501,670
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 942,670,531,501,670 is 9327933630.
Find LCM of 942,670,531,501,670 with Prime Factorization
| 2 | 942, 670, 531, 501, 670 |
| 3 | 471, 335, 531, 501, 335 |
| 5 | 157, 335, 177, 167, 335 |
| 67 | 157, 67, 177, 167, 67 |
| 157, 1, 177, 167, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 67 x 157 x 1 x 177 x 167 x 1 = 9327933630
Therefore, the lowest common multiple of 942,670,531,501,670 is 9327933630.
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.
942 x 670 x 531 x 501 x 670 = 112494879577800
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.
942 : 1, 2, 3, 6, 157, 314, 471, 942
670 : 1, 2, 5, 10, 67, 134, 335, 670
531 : 1, 3, 9, 59, 177, 531
501 : 1, 3, 167, 501
670 : 1, 2, 5, 10, 67, 134, 335, 670
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,670,531,501,670, is 1.
Now, the common factors can be found like this.
942:2x 3x 157
670:2x 5x 67
531:3x 3x 59
501:3x 167
670:2x 5x 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 2x 3x 3x 5x 67 = 12060
Therefore, the value for common factors is 12060.
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 = 112494879577800/(1x12060)
LCM = 112494879577800/12060
LCM = 9327933630
Thus, we can understand that the LCM of 942,670,531,501,670 is 9327933630.
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FAQs on LCM of 942, 670, 531, 501, 670
1. What is the LCM of 942, 670, 531, 501, 670?
Answer: LCM of 942, 670, 531, 501, 670 is 9327933630.
2. How to calculate the LCM of 942, 670, 531, 501, 670?
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 942, 670, 531, 501, 670.
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}.