LCM of 942, 494, 770, 253, 145
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 942, 494, 770, 253, 145 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, 494, 770, 253, 145. So, keep reading to learn more.
Given numbers are 942,494,770,253,145
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 942,494,770,253,145 is 59749519830.
Find LCM of 942,494,770,253,145 with Prime Factorization
| 2 | 942, 494, 770, 253, 145 |
| 5 | 471, 247, 385, 253, 145 |
| 11 | 471, 247, 77, 253, 29 |
| 471, 247, 7, 23, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 471 x 247 x 7 x 23 x 29 = 59749519830
Therefore, the lowest common multiple of 942,494,770,253,145 is 59749519830.
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 494 x 770 x 253 x 145 = 13144894362600
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
494 : 1, 2, 13, 19, 26, 38, 247, 494
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
253 : 1, 11, 23, 253
145 : 1, 5, 29, 145
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,494,770,253,145, is 1.
Now, the common factors can be found like this.
942:2x 3x 157
494:2x 13x 19
770:2x 5x 7x 11
253:11x 23
145:5x 29
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 5x 11 = 220
Therefore, the value for common factors is 220.
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 = 13144894362600/(1x220)
LCM = 13144894362600/220
LCM = 59749519830
Thus, we can understand that the LCM of 942,494,770,253,145 is 59749519830.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 942, 494, 770, 253, 145
1. What is the LCM of 942, 494, 770, 253, 145?
Answer: LCM of 942, 494, 770, 253, 145 is 59749519830.
2. How to calculate the LCM of 942, 494, 770, 253, 145?
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, 494, 770, 253, 145.
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}.