LCM of 146, 418, 292, 649, 363
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 146, 418, 292, 649, 363 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 146, 418, 292, 649, 363. So, keep reading to learn more.
Given numbers are 146,418,292,649,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 146,418,292,649,363 is 118821516.
Find LCM of 146,418,292,649,363 with Prime Factorization
| 2 | 146, 418, 292, 649, 363 |
| 11 | 73, 209, 146, 649, 363 |
| 73 | 73, 19, 146, 59, 33 |
| 1, 19, 2, 59, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 73 x 1 x 19 x 2 x 59 x 33 = 118821516
Therefore, the lowest common multiple of 146,418,292,649,363 is 118821516.
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.
146 x 418 x 292 x 649 x 363 = 4198201803312
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.
146 : 1, 2, 73, 146
418 : 1, 2, 11, 19, 22, 38, 209, 418
292 : 1, 2, 4, 73, 146, 292
649 : 1, 11, 59, 649
363 : 1, 3, 11, 33, 121, 363
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,418,292,649,363, is 1.
Now, the common factors can be found like this.
146:2x 73
418:2x 11x 19
292:2x 2x 73
649:11x 59
363:3x 11x 11
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 11x 11x 73 = 35332
Therefore, the value for common factors is 35332.
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 = 4198201803312/(1x35332)
LCM = 4198201803312/35332
LCM = 118821516
Thus, we can understand that the LCM of 146,418,292,649,363 is 118821516.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 146, 418, 292, 649, 363
1. What is the LCM of 146, 418, 292, 649, 363?
Answer: LCM of 146, 418, 292, 649, 363 is 118821516.
2. How to calculate the LCM of 146, 418, 292, 649, 363?
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 146, 418, 292, 649, 363.
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}.