LCM of 653, 798, 149, 219, 358
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 653, 798, 149, 219, 358 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 653, 798, 149, 219, 358. So, keep reading to learn more.
Given numbers are 653,798,149,219,358
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 653,798,149,219,358 is 1014561159402.
Find LCM of 653,798,149,219,358 with Prime Factorization
| 2 | 653, 798, 149, 219, 358 |
| 3 | 653, 399, 149, 219, 179 |
| 653, 133, 149, 73, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 653 x 133 x 149 x 73 x 179 = 1014561159402
Therefore, the lowest common multiple of 653,798,149,219,358 is 1014561159402.
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.
653 x 798 x 149 x 219 x 358 = 6087366956412
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.
653 : 1, 653
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
149 : 1, 149
219 : 1, 3, 73, 219
358 : 1, 2, 179, 358
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 653,798,149,219,358, is 1.
Now, the common factors can be found like this.
653:653
798:2x 3x 7x 19
149:149
219:3x 73
358:2x 179
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 6087366956412/(1x6)
LCM = 6087366956412/6
LCM = 1014561159402
Thus, we can understand that the LCM of 653,798,149,219,358 is 1014561159402.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 653, 798, 149, 219, 358
1. What is the LCM of 653, 798, 149, 219, 358?
Answer: LCM of 653, 798, 149, 219, 358 is 1014561159402.
2. How to calculate the LCM of 653, 798, 149, 219, 358?
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 653, 798, 149, 219, 358.
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}.